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Simplifying x2 + -6x + 7 = x + -3 Reorder the terms: 7 + -6x + x2 = x + -3 Reorder the terms: 7 + -6x + x2 = -3 + x Solving 7 + -6x + x2 = -3 + x Solving for variable 'x'. Reorder the terms: 7 + 3 + -6x + -1x + x2 = -3 + x + 3 + -1x Combine like terms: 7 + 3 = 10 10 + -6x + -1x + x2 = -3 + x + 3 + -1x Combine like terms: -6x + -1x = -7x 10 + -7x + x2 = -3 + x + 3 + -1x Reorder the terms: 10 + -7x + x2 = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 10 + -7x + x2 = 0 + x + -1x 10 + -7x + x2 = x + -1x Combine like terms: x + -1x = 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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