step 1 15x, the quantity of 15x minus 3 times 2 equals 0. 2 is a constant. We don't have any variable t

Question

Solve. $$ (15 x-3) 2=0 $$

Name: Problem 18, Chapter 6: Elementary Algebra
Uploaded: 2022-02-01T10:30:58-08:00
Duration: 1 min 4 s
Channel: Sherrie Fenner
Description: Solve. (15 x-3) 2=0

   Solve.
$$
(15 x-3) 2=0
$$

Elementary Algebra

John Redden 1st Edition

Chapter 6, Problem 18

Instant Answer

Solved by Expert Sherrie Fenner

02/01/2022

Step 1

The equation is $(15x - 3)2 = 0$. We can simplify this by multiplying through the parentheses to get $30x - 6 = 0$. Show more…

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Solve. $$ (15 x-3) 2=0 $$

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Key Concepts

Linear Equations

A linear equation is an algebraic equation in which the highest power of the variable is one. It represents a straight line when graphed and usually has one unique solution that can be found through simple algebraic manipulations.

Properties of Equality

The properties of equality allow us to add, subtract, multiply, or divide both sides of an equation by the same nonzero number without changing the solution. These properties are essential for transforming equations into simpler forms that make isolating variables possible.

Isolation of Variables

Isolation of variables is the process of using algebraic operations to get the variable of interest by itself on one side of the equation. This technique is frequently used in solving linear equations, ensuring the variable's coefficient is normalized to one for easier interpretation.

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