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Simplifying x2 + 13 = 5x + 7 Reorder the terms: 13 + x2 = 5x + 7 Reorder the terms: 13 + x2 = 7 + 5x Solving 13 + x2 = 7 + 5x Solving for variable 'x'. Reorder the terms: 13 + -7 + -5x + x2 = 7 + 5x + -7 + -5x Combine like terms: 13 + -7 = 6 6 + -5x + x2 = 7 + 5x + -7 + -5x Reorder the terms: 6 + -5x + x2 = 7 + -7 + 5x + -5x Combine like terms: 7 + -7 = 0 6 + -5x + x2 = 0 + 5x + -5x 6 + -5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 6 + -5x + x2 = 0 Factor a trinomial. (2 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {2, 3}
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