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Simplifying (8x2 + 17x) + 6x2 = 31x2 Reorder the terms: (17x + 8x2) + 6x2 = 31x2 Remove parenthesis around (17x + 8x2) 17x + 8x2 + 6x2 = 31x2 Combine like terms: 8x2 + 6x2 = 14x2 17x + 14x2 = 31x2 Solving 17x + 14x2 = 31x2 Solving for variable 'x'. Combine like terms: 14x2 + -31x2 = -17x2 17x + -17x2 = 31x2 + -31x2 Combine like terms: 31x2 + -31x2 = 0 17x + -17x2 = 0 Factor out the Greatest Common Factor (GCF), '17x'. 17x(1 + -1x) = 0 Ignore the factor 17.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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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