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# Verify a Solution Definition

Verifying or checking a solution is the process of making sure a solution is correct by making sure it satisfies any and all equations and or inequalities in a problem.

## Examples

Verify that x = 2 is a solution of the equation x3 + 3x2 - 5x + 3 = 13.

To verify the solution substitute x = 2 into the equation and determine if the left side of the equation equals the right side.

(2)3 + 3(2)2 - 5(2) + 3 = 13

(8) + 3(4) – (10) + 3 = 13

8 + 12 – 10 + 3 = 13

13 = 13

Since both sides are equivalent to one another, the solution where x = 2 is valid.

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