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Simplifying 2x4 + -34x2 = 0 Reorder the terms: -34x2 + 2x4 = 0 Solving -34x2 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-17 + x2) = 0 Ignore the factor 2.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 '(-17 + x2)' equal to zero and attempt to solve: Simplifying -17 + x2 = 0 Solving -17 + x2 = 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 + x2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x2 = 0 + 17 x2 = 0 + 17 Combine like terms: 0 + 17 = 17 x2 = 17 Simplifying x2 = 17 Take the square root of each side: x = {-4.123105626, 4.123105626}Solution
x = {0, -4.123105626, 4.123105626}
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