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Simplifying 72 = X2 + 2X + -8 Reorder the terms: 72 = -8 + 2X + X2 Solving 72 = -8 + 2X + X2 Solving for variable 'X'. Combine like terms: 72 + 8 = 80 80 + -2X + -1X2 = -8 + 2X + X2 + 8 + -2X + -1X2 Reorder the terms: 80 + -2X + -1X2 = -8 + 8 + 2X + -2X + X2 + -1X2 Combine like terms: -8 + 8 = 0 80 + -2X + -1X2 = 0 + 2X + -2X + X2 + -1X2 80 + -2X + -1X2 = 2X + -2X + X2 + -1X2 Combine like terms: 2X + -2X = 0 80 + -2X + -1X2 = 0 + X2 + -1X2 80 + -2X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 80 + -2X + -1X2 = 0 Factor a trinomial. (8 + -1X)(10 + X) = 0Subproblem 1
Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Subproblem 2
Set the factor '(10 + X)' equal to zero and attempt to solve: Simplifying 10 + X = 0 Solving 10 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X = 0 + -10 X = 0 + -10 Combine like terms: 0 + -10 = -10 X = -10 Simplifying X = -10Solution
X = {8, -10}
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