Question

Solve each equation for $x$. $$a^{2} x+3 x=2 a^{2}$$

   Solve each equation for $x$.
$$a^{2} x+3 x=2 a^{2}$$

Precalculus

Margaret L. Lial,… 4th Edition

Chapter 1, Problem 55

Instant Answer

Solved by Expert Sarah X

08/04/2020

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Solve each equation for $x$. $$a^{2} x+3 x=2 a^{2}$$

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Key Concepts

Linear Equations

A linear equation is an equation where every term is either a constant or the product of a constant and a single variable. Solving such equations involves gathering like terms and isolating the variable using basic arithmetic operations.

Factoring

Factoring is the technique of expressing an expression as the product of its factors. In the context of solving equations, factoring out a common variable can simplify the equation significantly, making it more straightforward to isolate the desired variable.

Division Property of Equality

This property states that if two expressions are equal, dividing both sides of the equation by the same nonzero quantity preserves the equality. It is crucial in solving equations after factoring out common terms to isolate the variable.

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