Question

Solve and check each equation. $$-12 d=0$$

   Solve and check each equation. $$-12 d=0$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 3, Problem 43

Instant Answer

Solved by Expert Raushan Kumar

09/16/2020

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Step 1: The given equation is $$-12d = 0$$ Show more…

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Solve and check each equation. $$-12 d=0$$

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Key Concepts

Solution Verification

Solution verification involves substituting the obtained solution back into the original equation to ensure that it satisfies the equation. This step confirms the correctness of the solution and is an important practice in algebra to catch potential errors. Checking the solution for -12d = 0 by substituting the value for d demonstrates that the steps taken to solve the equation have been correctly applied.

Properties of Equality

The properties of equality allow one to perform the same operation on both sides of an equation without changing the equation's solution. In solving the equation -12d = 0, one uses these properties to divide both sides by -12, ensuring that the equality is maintained. This principle is foundational in algebra and is essential for isolating the variable and solving the equation.

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. The goal in solving a linear equation is to isolate the variable on one side of the equation, simplifying the process of finding the variable's value. In this context, the equation -12d = 0 is a basic linear equation where the solution involves dividing both sides by the nonzero coefficient.

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