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Simplifying -8x2(-17x2 + 46) = 0 Reorder the terms: -8x2(46 + -17x2) = 0 (46 * -8x2 + -17x2 * -8x2) = 0 (-368x2 + 136x4) = 0 Solving -368x2 + 136x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x2'. 8x2(-46 + 17x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-46 + 17x2)' equal to zero and attempt to solve: Simplifying -46 + 17x2 = 0 Solving -46 + 17x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 17x2 = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 17x2 = 0 + 46 17x2 = 0 + 46 Combine like terms: 0 + 46 = 46 17x2 = 46 Divide each side by '17'. x2 = 2.705882353 Simplifying x2 = 2.705882353 Take the square root of each side: x = {-1.644956642, 1.644956642}Solution
x = {0, -1.644956642, 1.644956642}
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