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Simplifying 3x + -2 = x2 + -4x + 4 Reorder the terms: -2 + 3x = x2 + -4x + 4 Reorder the terms: -2 + 3x = 4 + -4x + x2 Solving -2 + 3x = 4 + -4x + x2 Solving for variable 'x'. Reorder the terms: -2 + -4 + 3x + 4x + -1x2 = 4 + -4x + x2 + -4 + 4x + -1x2 Combine like terms: -2 + -4 = -6 -6 + 3x + 4x + -1x2 = 4 + -4x + x2 + -4 + 4x + -1x2 Combine like terms: 3x + 4x = 7x -6 + 7x + -1x2 = 4 + -4x + x2 + -4 + 4x + -1x2 Reorder the terms: -6 + 7x + -1x2 = 4 + -4 + -4x + 4x + x2 + -1x2 Combine like terms: 4 + -4 = 0 -6 + 7x + -1x2 = 0 + -4x + 4x + x2 + -1x2 -6 + 7x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 -6 + 7x + -1x2 = 0 + x2 + -1x2 -6 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 7x + -1x2 = 0 Factor a trinomial. (-6 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 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 = {6, 1}
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