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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 = -20x (91 + -20x + x2) = 0 Solving 91 + -20x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(13 + -1x) = 0Subproblem 1
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 = 7Subproblem 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 = {7, 13}
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