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Simplifying (17 + -1x)(-13 + -1x) + 216 = 0 Multiply (17 + -1x) * (-13 + -1x) (17(-13 + -1x) + -1x * (-13 + -1x)) + 216 = 0 ((-13 * 17 + -1x * 17) + -1x * (-13 + -1x)) + 216 = 0 ((-221 + -17x) + -1x * (-13 + -1x)) + 216 = 0 (-221 + -17x + (-13 * -1x + -1x * -1x)) + 216 = 0 (-221 + -17x + (13x + 1x2)) + 216 = 0 Combine like terms: -17x + 13x = -4x (-221 + -4x + 1x2) + 216 = 0 Reorder the terms: -221 + 216 + -4x + 1x2 = 0 Combine like terms: -221 + 216 = -5 -5 + -4x + 1x2 = 0 Solving -5 + -4x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1, 5}
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