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Simplifying X2 = 2(5X + -12) Reorder the terms: X2 = 2(-12 + 5X) X2 = (-12 * 2 + 5X * 2) X2 = (-24 + 10X) Solving X2 = -24 + 10X Solving for variable 'X'. Reorder the terms: 24 + -10X + X2 = -24 + 10X + 24 + -10X Reorder the terms: 24 + -10X + X2 = -24 + 24 + 10X + -10X Combine like terms: -24 + 24 = 0 24 + -10X + X2 = 0 + 10X + -10X 24 + -10X + X2 = 10X + -10X Combine like terms: 10X + -10X = 0 24 + -10X + X2 = 0 Factor a trinomial. (4 + -1X)(6 + -1X) = 0Subproblem 1
Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve: Simplifying 6 + -1X = 0 Solving 6 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X = 0 + -6 -1X = 0 + -6 Combine like terms: 0 + -6 = -6 -1X = -6 Divide each side by '-1'. X = 6 Simplifying X = 6Solution
X = {4, 6}
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