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Simplifying -15x2 + -40x = 20x2 + -8x Reorder the terms: -40x + -15x2 = 20x2 + -8x Reorder the terms: -40x + -15x2 = -8x + 20x2 Solving -40x + -15x2 = -8x + 20x2 Solving for variable 'x'. Reorder the terms: -40x + 8x + -15x2 + -20x2 = -8x + 20x2 + 8x + -20x2 Combine like terms: -40x + 8x = -32x -32x + -15x2 + -20x2 = -8x + 20x2 + 8x + -20x2 Combine like terms: -15x2 + -20x2 = -35x2 -32x + -35x2 = -8x + 20x2 + 8x + -20x2 Reorder the terms: -32x + -35x2 = -8x + 8x + 20x2 + -20x2 Combine like terms: -8x + 8x = 0 -32x + -35x2 = 0 + 20x2 + -20x2 -32x + -35x2 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 -32x + -35x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(32 + 35x) = 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 '(32 + 35x)' equal to zero and attempt to solve: Simplifying 32 + 35x = 0 Solving 32 + 35x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 35x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 35x = 0 + -32 35x = 0 + -32 Combine like terms: 0 + -32 = -32 35x = -32 Divide each side by '35'. x = -0.9142857143 Simplifying x = -0.9142857143Solution
x = {0, -0.9142857143}
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