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Simplifying -8x2 + -20x = 8x2 + 4x Reorder the terms: -20x + -8x2 = 8x2 + 4x Reorder the terms: -20x + -8x2 = 4x + 8x2 Solving -20x + -8x2 = 4x + 8x2 Solving for variable 'x'. Reorder the terms: -20x + -4x + -8x2 + -8x2 = 4x + 8x2 + -4x + -8x2 Combine like terms: -20x + -4x = -24x -24x + -8x2 + -8x2 = 4x + 8x2 + -4x + -8x2 Combine like terms: -8x2 + -8x2 = -16x2 -24x + -16x2 = 4x + 8x2 + -4x + -8x2 Reorder the terms: -24x + -16x2 = 4x + -4x + 8x2 + -8x2 Combine like terms: 4x + -4x = 0 -24x + -16x2 = 0 + 8x2 + -8x2 -24x + -16x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -24x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-8x'. -8x(3 + 2x) = 0 Ignore the factor -8.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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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