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Simplifying X2 + 96 = 20X Reorder the terms: 96 + X2 = 20X Solving 96 + X2 = 20X Solving for variable 'X'. Reorder the terms: 96 + -20X + X2 = 20X + -20X Combine like terms: 20X + -20X = 0 96 + -20X + X2 = 0 Factor a trinomial. (8 + -1X)(12 + -1X) = 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 '(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 = {8, 12}
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