Rewrite Equations and Formulas - Example 2

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving this equation is the process of finding the value of the unknown expression when the other expression is given. An equation is an expression of equality. The unknown appears on the left and the expression on the right of the equals sign. For example, the equation 2x + 3 = 4 has the unknown x and the expression 2x + 3 on the left and the number 4 on the right.

Recommended Practical Videos

02:08

AG

Ankit G.

List the first five statements in the sequence that can be obtained from the following. Determine whether each of the five statements is true or false. $n^{2}<n^{3}$

01:17

Julie S.

Factor each trinomial completely. $$ 9 t^{2}+24 t r+16 r^{2} $$

02:19

AG

Ankit G.

Suppose $f(r)$ is the volume (in cubic inches) of a sphere of radius $r$ inches. What does $f^{-1}(5)$ represent?

01:53

Devon K.

Factor completely. Remember to look first for a common factor. If a polynomial is prime, state this. $$ 56+x-x^{2} $$

Recommended Quiz

Recommended Books

Intermediate Algebra Concepts and Applications 10e

Prealgebra Demystified

Beginning Algebra: A Guided Approach, 10th

College Algebra

Algebra for College Students 9th (2019)

Differential Equations and Linear Algebra 4th

Video Transcript

we're gonna look at X equals negative B over two A. And we're gonna solve for a now because A is in the denominator I want to rewrite. The first step is I'm gonna rewrite this equation to where I no longer have a fraction. So I'm going to do that by multiplying both sides by the denominator. And I know the A is in the denominator, and that's okay. We just want to remove it as a fraction. So we're gonna multiply both sides by two A. So that means on the left side. Now I have to a X equals the denominator is going to cancel out on the right and leave me with just negative b. So now let's look at the left side. Now that I've done that, I can see on the left side what I really have is two times a times X equals negative bay. So that means that the two and the X are both being multiplied by the A. So in order to move on, we need to do the opposite of multiplication. And the opposite of multiplication is always going to be division. So we're going to divide both sides by two X So that's gonna cancel them out on the left side and leave me with just a equals negative B over to X.