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Simplifying -2x2 + 5x + -4 = -1x2 + -1x + 5 Reorder the terms: -4 + 5x + -2x2 = -1x2 + -1x + 5 Reorder the terms: -4 + 5x + -2x2 = 5 + -1x + -1x2 Solving -4 + 5x + -2x2 = 5 + -1x + -1x2 Solving for variable 'x'. Reorder the terms: -4 + -5 + 5x + x + -2x2 + x2 = 5 + -1x + -1x2 + -5 + x + x2 Combine like terms: -4 + -5 = -9 -9 + 5x + x + -2x2 + x2 = 5 + -1x + -1x2 + -5 + x + x2 Combine like terms: 5x + x = 6x -9 + 6x + -2x2 + x2 = 5 + -1x + -1x2 + -5 + x + x2 Combine like terms: -2x2 + x2 = -1x2 -9 + 6x + -1x2 = 5 + -1x + -1x2 + -5 + x + x2 Reorder the terms: -9 + 6x + -1x2 = 5 + -5 + -1x + x + -1x2 + x2 Combine like terms: 5 + -5 = 0 -9 + 6x + -1x2 = 0 + -1x + x + -1x2 + x2 -9 + 6x + -1x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 -9 + 6x + -1x2 = 0 + -1x2 + x2 -9 + 6x + -1x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -9 + 6x + -1x2 = 0 Factor a trinomial. (-3 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 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 = {3, 3}
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