Question

Solve each equation. Check the result. $$4(p-2)=0$$

   Solve each equation. Check the result.
$$4(p-2)=0$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 3, Problem 91

Instant Answer

Solved by Expert Amy Jiang

07/20/2020

Step 1

Step 1: First, we distribute the 4 into the parentheses: $$4(p-2)=0 \Rightarrow 4p - 8 = 0$$ Show more…

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Solve each equation. Check the result. $$4(p-2)=0$$

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Key Concepts

Linear Equations

Linear equations involve expressions where the variable is only to the first power, and they typically can be solved by isolating the variable. Understanding linear equations is fundamental in algebra as they form the basis for more complex mathematical problem solving and analysis.

Algebraic Manipulation

Algebraic manipulation refers to the process of rearranging and simplifying expressions and equations using operations such as addition, subtraction, multiplication, and division. This skill is essential for solving equations, as it allows one to isolate the variable and simplify expressions to obtain a solution.

Zero Product Property

The zero product property states that if a product of two factors is zero, then at least one of the factors must be zero. This property is critical for solving equations that have been factored, as it allows one to set each factor equal to zero to find all possible solutions.

Verification by Substitution

Verification by substitution is the process of checking the validity of a solution by replacing the variable in the original equation with the found value. This step confirms that the solution satisfies the equation and helps to avoid errors or extraneous solutions.

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