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Simplifying 170 = 2x2 + 4x(6) Reorder the terms for easier multiplication: 170 = 2x2 + 4 * 6x Multiply 4 * 6 170 = 2x2 + 24x Reorder the terms: 170 = 24x + 2x2 Solving 170 = 24x + 2x2 Solving for variable 'x'. Reorder the terms: 170 + -24x + -2x2 = 24x + -24x + 2x2 + -2x2 Combine like terms: 24x + -24x = 0 170 + -24x + -2x2 = 0 + 2x2 + -2x2 170 + -24x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 170 + -24x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(85 + -12x + -1x2) = 0 Factor a trinomial. 2((5 + -1x)(17 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {5, -17}
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