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Simplifying 4x2 + -3x + -10 = 3x2 + -1x + -2 Reorder the terms: -10 + -3x + 4x2 = 3x2 + -1x + -2 Reorder the terms: -10 + -3x + 4x2 = -2 + -1x + 3x2 Solving -10 + -3x + 4x2 = -2 + -1x + 3x2 Solving for variable 'x'. Reorder the terms: -10 + 2 + -3x + x + 4x2 + -3x2 = -2 + -1x + 3x2 + 2 + x + -3x2 Combine like terms: -10 + 2 = -8 -8 + -3x + x + 4x2 + -3x2 = -2 + -1x + 3x2 + 2 + x + -3x2 Combine like terms: -3x + x = -2x -8 + -2x + 4x2 + -3x2 = -2 + -1x + 3x2 + 2 + x + -3x2 Combine like terms: 4x2 + -3x2 = 1x2 -8 + -2x + 1x2 = -2 + -1x + 3x2 + 2 + x + -3x2 Reorder the terms: -8 + -2x + 1x2 = -2 + 2 + -1x + x + 3x2 + -3x2 Combine like terms: -2 + 2 = 0 -8 + -2x + 1x2 = 0 + -1x + x + 3x2 + -3x2 -8 + -2x + 1x2 = -1x + x + 3x2 + -3x2 Combine like terms: -1x + x = 0 -8 + -2x + 1x2 = 0 + 3x2 + -3x2 -8 + -2x + 1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -8 + -2x + 1x2 = 0 Factor a trinomial. (-2 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-2, 4}
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