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Simplifying x(x + 17) + -15(x + 17) = 0 Reorder the terms: x(17 + x) + -15(x + 17) = 0 (17 * x + x * x) + -15(x + 17) = 0 (17x + x2) + -15(x + 17) = 0 Reorder the terms: 17x + x2 + -15(17 + x) = 0 17x + x2 + (17 * -15 + x * -15) = 0 17x + x2 + (-255 + -15x) = 0 Reorder the terms: -255 + 17x + -15x + x2 = 0 Combine like terms: 17x + -15x = 2x -255 + 2x + x2 = 0 Solving -255 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-17, 15}
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