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Simplifying X * X + -12X = -35 Multiply X * X X2 + -12X = -35 Reorder the terms: -12X + X2 = -35 Solving -12X + X2 = -35 Solving for variable 'X'. Reorder the terms: 35 + -12X + X2 = -35 + 35 Combine like terms: -35 + 35 = 0 35 + -12X + X2 = 0 Factor a trinomial. (5 + -1X)(7 + -1X) = 0Subproblem 1
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Solution
X = {5, 7}
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