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Simplifying (x + -7)(x + 13) = 0 Reorder the terms: (-7 + x)(x + 13) = 0 Reorder the terms: (-7 + x)(13 + x) = 0 Multiply (-7 + x) * (13 + x) (-7(13 + x) + x(13 + x)) = 0 ((13 * -7 + x * -7) + x(13 + x)) = 0 ((-91 + -7x) + x(13 + x)) = 0 (-91 + -7x + (13 * x + x * x)) = 0 (-91 + -7x + (13x + x2)) = 0 Combine like terms: -7x + 13x = 6x (-91 + 6x + x2) = 0 Solving -91 + 6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-13 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-13, 7}
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