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Simplifying x2 + -4x + -5 = -2x2 + -3x + -3 Reorder the terms: -5 + -4x + x2 = -2x2 + -3x + -3 Reorder the terms: -5 + -4x + x2 = -3 + -3x + -2x2 Solving -5 + -4x + x2 = -3 + -3x + -2x2 Solving for variable 'x'. Reorder the terms: -5 + 3 + -4x + 3x + x2 + 2x2 = -3 + -3x + -2x2 + 3 + 3x + 2x2 Combine like terms: -5 + 3 = -2 -2 + -4x + 3x + x2 + 2x2 = -3 + -3x + -2x2 + 3 + 3x + 2x2 Combine like terms: -4x + 3x = -1x -2 + -1x + x2 + 2x2 = -3 + -3x + -2x2 + 3 + 3x + 2x2 Combine like terms: x2 + 2x2 = 3x2 -2 + -1x + 3x2 = -3 + -3x + -2x2 + 3 + 3x + 2x2 Reorder the terms: -2 + -1x + 3x2 = -3 + 3 + -3x + 3x + -2x2 + 2x2 Combine like terms: -3 + 3 = 0 -2 + -1x + 3x2 = 0 + -3x + 3x + -2x2 + 2x2 -2 + -1x + 3x2 = -3x + 3x + -2x2 + 2x2 Combine like terms: -3x + 3x = 0 -2 + -1x + 3x2 = 0 + -2x2 + 2x2 -2 + -1x + 3x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -2 + -1x + 3x2 = 0 Factor a trinomial. (-2 + -3x)(1 + -1x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 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 = {-0.6666666667, 1}
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