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# prcreva6 - A.6 Equations An equation in one variable is a...

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A.6 Equations

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An equation in one variable is a statement in which two expressions, at least one containing the variable, are equal. To solve an equation means to find all those values of the variable that result in a true statement.
Procedures that Result in Equivalent Equations Interchange the two sides of the equation. Simplify each side. (Combine like terms, eliminate parentheses . . .) Add or subtract the same expression on both sides. Multiply both sides of the equation by the same nonzero expression. If one side is zero and the other can be factored use the Zero- Product Property.

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Steps for Solving Equations Algebraically List any restrictions on the domain of the variable. Simplify the equation by replacing the original by a succession of equivalent equations using the procedures listed earlier. If the result is a product of factors equal to 0, use the Zero-Product Property.
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