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Simplifying (x + -17)(x + 5) = 0 Reorder the terms: (-17 + x)(x + 5) = 0 Reorder the terms: (-17 + x)(5 + x) = 0 Multiply (-17 + x) * (5 + x) (-17(5 + x) + x(5 + x)) = 0 ((5 * -17 + x * -17) + x(5 + x)) = 0 ((-85 + -17x) + x(5 + x)) = 0 (-85 + -17x + (5 * x + x * x)) = 0 (-85 + -17x + (5x + x2)) = 0 Combine like terms: -17x + 5x = -12x (-85 + -12x + x2) = 0 Solving -85 + -12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(17 + -1x) = 0Subproblem 1
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 = -5Subproblem 2
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 = 17Solution
x = {-5, 17}
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