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Simplifying 5x(x + -6) = 2x2 + -31x Reorder the terms: 5x(-6 + x) = 2x2 + -31x (-6 * 5x + x * 5x) = 2x2 + -31x (-30x + 5x2) = 2x2 + -31x Reorder the terms: -30x + 5x2 = -31x + 2x2 Solving -30x + 5x2 = -31x + 2x2 Solving for variable 'x'. Reorder the terms: -30x + 31x + 5x2 + -2x2 = -31x + 2x2 + 31x + -2x2 Combine like terms: -30x + 31x = 1x 1x + 5x2 + -2x2 = -31x + 2x2 + 31x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 1x + 3x2 = -31x + 2x2 + 31x + -2x2 Reorder the terms: 1x + 3x2 = -31x + 31x + 2x2 + -2x2 Combine like terms: -31x + 31x = 0 1x + 3x2 = 0 + 2x2 + -2x2 1x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 3x) = 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 '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {0, -0.3333333333}
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