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Simplifying x2 + -2x + 6x + -12 = -7 Reorder the terms: -12 + -2x + 6x + x2 = -7 Combine like terms: -2x + 6x = 4x -12 + 4x + x2 = -7 Solving -12 + 4x + x2 = -7 Solving for variable 'x'. Reorder the terms: -12 + 7 + 4x + x2 = -7 + 7 Combine like terms: -12 + 7 = -5 -5 + 4x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -5 + 4x + x2 = 0 Factor a trinomial. (-5 + -1x)(1 + -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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-5, 1}
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