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Simplifying (x + 11)(x + -13) = -80 Reorder the terms: (11 + x)(x + -13) = -80 Reorder the terms: (11 + x)(-13 + x) = -80 Multiply (11 + x) * (-13 + x) (11(-13 + x) + x(-13 + x)) = -80 ((-13 * 11 + x * 11) + x(-13 + x)) = -80 ((-143 + 11x) + x(-13 + x)) = -80 (-143 + 11x + (-13 * x + x * x)) = -80 (-143 + 11x + (-13x + x2)) = -80 Combine like terms: 11x + -13x = -2x (-143 + -2x + x2) = -80 Solving -143 + -2x + x2 = -80 Solving for variable 'x'. Reorder the terms: -143 + 80 + -2x + x2 = -80 + 80 Combine like terms: -143 + 80 = -63 -63 + -2x + x2 = -80 + 80 Combine like terms: -80 + 80 = 0 -63 + -2x + x2 = 0 Factor a trinomial. (-7 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-7, 9}
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