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Simplifying (2x + -2)(x + -5) = 0 Reorder the terms: (-2 + 2x)(x + -5) = 0 Reorder the terms: (-2 + 2x)(-5 + x) = 0 Multiply (-2 + 2x) * (-5 + x) (-2(-5 + x) + 2x * (-5 + x)) = 0 ((-5 * -2 + x * -2) + 2x * (-5 + x)) = 0 ((10 + -2x) + 2x * (-5 + x)) = 0 (10 + -2x + (-5 * 2x + x * 2x)) = 0 (10 + -2x + (-10x + 2x2)) = 0 Combine like terms: -2x + -10x = -12x (10 + -12x + 2x2) = 0 Solving 10 + -12x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -6x + x2) = 0 Factor a trinomial. 2((1 + -1x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 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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