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Simplifying (x + 17) * x = (8 + 13) * 8 Reorder the terms: (17 + x) * x = (8 + 13) * 8 Reorder the terms for easier multiplication: x(17 + x) = (8 + 13) * 8 (17 * x + x * x) = (8 + 13) * 8 (17x + x2) = (8 + 13) * 8 Combine like terms: 8 + 13 = 21 17x + x2 = (21) * 8 Multiply 21 * 8 17x + x2 = 168 Solving 17x + x2 = 168 Solving for variable 'x'. Reorder the terms: -168 + 17x + x2 = 168 + -168 Combine like terms: 168 + -168 = 0 -168 + 17x + x2 = 0 Factor a trinomial. (-24 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-24, 7}
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