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Simplifying x2 + 12 = 10x + -13 Reorder the terms: 12 + x2 = 10x + -13 Reorder the terms: 12 + x2 = -13 + 10x Solving 12 + x2 = -13 + 10x Solving for variable 'x'. Reorder the terms: 12 + 13 + -10x + x2 = -13 + 10x + 13 + -10x Combine like terms: 12 + 13 = 25 25 + -10x + x2 = -13 + 10x + 13 + -10x Reorder the terms: 25 + -10x + x2 = -13 + 13 + 10x + -10x Combine like terms: -13 + 13 = 0 25 + -10x + x2 = 0 + 10x + -10x 25 + -10x + x2 = 10x + -10x Combine like terms: 10x + -10x = 0 25 + -10x + x2 = 0 Factor a trinomial. (5 + -1x)(5 + -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 '(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 = {5, 5}
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