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Simplifying (5 + -5x)(5 + -5x) = 0 Multiply (5 + -5x) * (5 + -5x) (5(5 + -5x) + -5x * (5 + -5x)) = 0 ((5 * 5 + -5x * 5) + -5x * (5 + -5x)) = 0 ((25 + -25x) + -5x * (5 + -5x)) = 0 (25 + -25x + (5 * -5x + -5x * -5x)) = 0 (25 + -25x + (-25x + 25x2)) = 0 Combine like terms: -25x + -25x = -50x (25 + -50x + 25x2) = 0 Solving 25 + -50x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25'. 25(1 + -2x + x2) = 0 Factor a trinomial. 25((1 + -1x)(1 + -1x)) = 0 Ignore the factor 25.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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