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Simplifying 7x(x + -8) = 10x2 + -57x Reorder the terms: 7x(-8 + x) = 10x2 + -57x (-8 * 7x + x * 7x) = 10x2 + -57x (-56x + 7x2) = 10x2 + -57x Reorder the terms: -56x + 7x2 = -57x + 10x2 Solving -56x + 7x2 = -57x + 10x2 Solving for variable 'x'. Reorder the terms: -56x + 57x + 7x2 + -10x2 = -57x + 10x2 + 57x + -10x2 Combine like terms: -56x + 57x = 1x 1x + 7x2 + -10x2 = -57x + 10x2 + 57x + -10x2 Combine like terms: 7x2 + -10x2 = -3x2 1x + -3x2 = -57x + 10x2 + 57x + -10x2 Reorder the terms: 1x + -3x2 = -57x + 57x + 10x2 + -10x2 Combine like terms: -57x + 57x = 0 1x + -3x2 = 0 + 10x2 + -10x2 1x + -3x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 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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