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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 = 5x2 -32x + 5x2 = -8x + -20x2 + 8x + 20x2 Reorder the terms: -32x + 5x2 = -8x + 8x + -20x2 + 20x2 Combine like terms: -8x + 8x = 0 -32x + 5x2 = 0 + -20x2 + 20x2 -32x + 5x2 = -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 -32x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-32 + 5x) = 0Subproblem 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 + 5x)' equal to zero and attempt to solve: Simplifying -32 + 5x = 0 Solving -32 + 5x = 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 + 5x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 0 + 32 5x = 0 + 32 Combine like terms: 0 + 32 = 32 5x = 32 Divide each side by '5'. x = 6.4 Simplifying x = 6.4Solution
x = {0, 6.4}
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