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Solve for the variable and check. Each solution is an integer.$4 x(x+2)-x(3+4 x)=2 x+18$

$x=6$

Algebra

Chapter 1

THE INTEGERS

Section 5

Multiplying Polynomials

The Integers

Equations and Inequalities

Polynomials

Baylor University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

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So you want to solve our variable and wanna check So we have for X times exposed to minus X times three plus four x and we won. It's equal to X plus 18. So the first thing we need to do is we need to distribute. So for X Times X, we're gonna add those exponents. So it's our sense of four X squared and then for X times to give us plus eight hits, they would also ate the distribute This negative one accents of this binomial here So negative one times 30 years and negative three. Bring down that X and then negative one x times. For that. You would want some spores negative, for they wanted to add those exponents. Someone plays wise, too. It's like that equal into explosive 18. So now we need to combine light terms. That means if they have the same degree, we need to combine the coefficients. So this for X squared here, and it's more X squared. Here we can combine their coefficients. The four minus four gives a zero. That means the's cancel out because whenever we have zero, the coefficient zero times anything zero. So let's just Europe, and these two have and understand Explain it a point. So, eight, Minister, he gives us five X and we're gonna set that you consider other side, which is too explicit. 18. So now we need all of our variables on one side and all of our numbers on the other. So I'm gonna move these two X to the other side. It's a non council by minus two is three X and so they got 18 and divide by three on both sides, and we get X equals six. So now we need to plug this back into our original equation to prove that X equal. Six. I just want to check your answer. So you're gonna have four times. Six all times. It's explicit, too. Minus six times three plus four times six. My shoulders are bigger. Print a sneeze it is. And then to the able to two times six plus 18. So now we just simplify. So four times six is 24 in 66 plus two is eight minus six times three plus and four times 16 24 and equals to some sixes. 12 plus 18. So I'm going to grab a calculator and 24 times eight. It is 192 money, six terms three plus 24 27 and 12 hours. 18 is 30 someone 92 minus in six times 27 is 162 pernicious 30 and 1 92 minus 1 62 years. I was 30 and because 30 does equal 30 we know that X does equal six.

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