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Simplifying (X)(X + 8) = 240 Reorder the terms: X(8 + X) = 240 (8 * X + X * X) = 240 (8X + X2) = 240 Solving 8X + X2 = 240 Solving for variable 'X'. Reorder the terms: -240 + 8X + X2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + 8X + X2 = 0 Factor a trinomial. (-20 + -1X)(12 + -1X) = 0Subproblem 1
Set the factor '(-20 + -1X)' equal to zero and attempt to solve: Simplifying -20 + -1X = 0 Solving -20 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1X = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1X = 0 + 20 -1X = 0 + 20 Combine like terms: 0 + 20 = 20 -1X = 20 Divide each side by '-1'. X = -20 Simplifying X = -20Subproblem 2
Set the factor '(12 + -1X)' equal to zero and attempt to solve: Simplifying 12 + -1X = 0 Solving 12 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1X = 0 + -12 -1X = 0 + -12 Combine like terms: 0 + -12 = -12 -1X = -12 Divide each side by '-1'. X = 12 Simplifying X = 12Solution
X = {-20, 12}
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