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Simplifying 2 + -3(x + 4) + -2x2 = x(5 + -1x) + -10 Reorder the terms: 2 + -3(4 + x) + -2x2 = x(5 + -1x) + -10 2 + (4 * -3 + x * -3) + -2x2 = x(5 + -1x) + -10 2 + (-12 + -3x) + -2x2 = x(5 + -1x) + -10 Combine like terms: 2 + -12 = -10 -10 + -3x + -2x2 = x(5 + -1x) + -10 -10 + -3x + -2x2 = (5 * x + -1x * x) + -10 -10 + -3x + -2x2 = (5x + -1x2) + -10 Reorder the terms: -10 + -3x + -2x2 = -10 + 5x + -1x2 Add '10' to each side of the equation. -10 + -3x + 10 + -2x2 = -10 + 5x + 10 + -1x2 Reorder the terms: -10 + 10 + -3x + -2x2 = -10 + 5x + 10 + -1x2 Combine like terms: -10 + 10 = 0 0 + -3x + -2x2 = -10 + 5x + 10 + -1x2 -3x + -2x2 = -10 + 5x + 10 + -1x2 Reorder the terms: -3x + -2x2 = -10 + 10 + 5x + -1x2 Combine like terms: -10 + 10 = 0 -3x + -2x2 = 0 + 5x + -1x2 -3x + -2x2 = 5x + -1x2 Solving -3x + -2x2 = 5x + -1x2 Solving for variable 'x'. Reorder the terms: -3x + -5x + -2x2 + x2 = 5x + -1x2 + -5x + x2 Combine like terms: -3x + -5x = -8x -8x + -2x2 + x2 = 5x + -1x2 + -5x + x2 Combine like terms: -2x2 + x2 = -1x2 -8x + -1x2 = 5x + -1x2 + -5x + x2 Reorder the terms: -8x + -1x2 = 5x + -5x + -1x2 + x2 Combine like terms: 5x + -5x = 0 -8x + -1x2 = 0 + -1x2 + x2 -8x + -1x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -8x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(8 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0, -8}
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