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Simplifying (13 + -1x)(13 + -1x) = 0 Multiply (13 + -1x) * (13 + -1x) (13(13 + -1x) + -1x * (13 + -1x)) = 0 ((13 * 13 + -1x * 13) + -1x * (13 + -1x)) = 0 ((169 + -13x) + -1x * (13 + -1x)) = 0 (169 + -13x + (13 * -1x + -1x * -1x)) = 0 (169 + -13x + (-13x + 1x2)) = 0 Combine like terms: -13x + -13x = -26x (169 + -26x + 1x2) = 0 Solving 169 + -26x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + -1x)(13 + -1x) = 0Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {13, 13}
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