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Simplifying (2x + -2)(5x + -5) = 0 Reorder the terms: (-2 + 2x)(5x + -5) = 0 Reorder the terms: (-2 + 2x)(-5 + 5x) = 0 Multiply (-2 + 2x) * (-5 + 5x) (-2(-5 + 5x) + 2x * (-5 + 5x)) = 0 ((-5 * -2 + 5x * -2) + 2x * (-5 + 5x)) = 0 ((10 + -10x) + 2x * (-5 + 5x)) = 0 (10 + -10x + (-5 * 2x + 5x * 2x)) = 0 (10 + -10x + (-10x + 10x2)) = 0 Combine like terms: -10x + -10x = -20x (10 + -20x + 10x2) = 0 Solving 10 + -20x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(1 + -2x + x2) = 0 Factor a trinomial. 10((1 + -1x)(1 + -1x)) = 0 Ignore the factor 10.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 '(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 = 1Solution
x = {1, 1}
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