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Simplifying (x + 2)(x + -6) = 240 Reorder the terms: (2 + x)(x + -6) = 240 Reorder the terms: (2 + x)(-6 + x) = 240 Multiply (2 + x) * (-6 + x) (2(-6 + x) + x(-6 + x)) = 240 ((-6 * 2 + x * 2) + x(-6 + x)) = 240 ((-12 + 2x) + x(-6 + x)) = 240 (-12 + 2x + (-6 * x + x * x)) = 240 (-12 + 2x + (-6x + x2)) = 240 Combine like terms: 2x + -6x = -4x (-12 + -4x + x2) = 240 Solving -12 + -4x + x2 = 240 Solving for variable 'x'. Reorder the terms: -12 + -240 + -4x + x2 = 240 + -240 Combine like terms: -12 + -240 = -252 -252 + -4x + x2 = 240 + -240 Combine like terms: 240 + -240 = 0 -252 + -4x + x2 = 0 Factor a trinomial. (-14 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-14, 18}
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