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Simplifying X2 + 12 = 7X + 2 Reorder the terms: 12 + X2 = 7X + 2 Reorder the terms: 12 + X2 = 2 + 7X Solving 12 + X2 = 2 + 7X Solving for variable 'X'. Reorder the terms: 12 + -2 + -7X + X2 = 2 + 7X + -2 + -7X Combine like terms: 12 + -2 = 10 10 + -7X + X2 = 2 + 7X + -2 + -7X Reorder the terms: 10 + -7X + X2 = 2 + -2 + 7X + -7X Combine like terms: 2 + -2 = 0 10 + -7X + X2 = 0 + 7X + -7X 10 + -7X + X2 = 7X + -7X Combine like terms: 7X + -7X = 0 10 + -7X + X2 = 0 Factor a trinomial. (2 + -1X)(5 + -1X) = 0Subproblem 1
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Subproblem 2
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 = 5Solution
X = {2, 5}
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