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Simplifying 17x2 + -2x = 6x + -31x2 Reorder the terms: -2x + 17x2 = 6x + -31x2 Solving -2x + 17x2 = 6x + -31x2 Solving for variable 'x'. Reorder the terms: -2x + -6x + 17x2 + 31x2 = 6x + -31x2 + -6x + 31x2 Combine like terms: -2x + -6x = -8x -8x + 17x2 + 31x2 = 6x + -31x2 + -6x + 31x2 Combine like terms: 17x2 + 31x2 = 48x2 -8x + 48x2 = 6x + -31x2 + -6x + 31x2 Reorder the terms: -8x + 48x2 = 6x + -6x + -31x2 + 31x2 Combine like terms: 6x + -6x = 0 -8x + 48x2 = 0 + -31x2 + 31x2 -8x + 48x2 = -31x2 + 31x2 Combine like terms: -31x2 + 31x2 = 0 -8x + 48x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-1 + 6x) = 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 '(-1 + 6x)' equal to zero and attempt to solve: Simplifying -1 + 6x = 0 Solving -1 + 6x = 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 + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 0 + 1 6x = 0 + 1 Combine like terms: 0 + 1 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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