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