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Simplifying (2x + -2)(1x + -5) = -8 Reorder the terms: (-2 + 2x)(1x + -5) = -8 Reorder the terms: (-2 + 2x)(-5 + 1x) = -8 Multiply (-2 + 2x) * (-5 + 1x) (-2(-5 + 1x) + 2x * (-5 + 1x)) = -8 ((-5 * -2 + 1x * -2) + 2x * (-5 + 1x)) = -8 ((10 + -2x) + 2x * (-5 + 1x)) = -8 (10 + -2x + (-5 * 2x + 1x * 2x)) = -8 (10 + -2x + (-10x + 2x2)) = -8 Combine like terms: -2x + -10x = -12x (10 + -12x + 2x2) = -8 Solving 10 + -12x + 2x2 = -8 Solving for variable 'x'. Reorder the terms: 10 + 8 + -12x + 2x2 = -8 + 8 Combine like terms: 10 + 8 = 18 18 + -12x + 2x2 = -8 + 8 Combine like terms: -8 + 8 = 0 18 + -12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -6x + x2) = 0 Factor a trinomial. 2((3 + -1x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {3, 3}
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