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Simplifying x4 + -34x2 = 0 Reorder the terms: -34x2 + x4 = 0 Solving -34x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-34 + x2) = 0Subproblem 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 '(-34 + x2)' equal to zero and attempt to solve: Simplifying -34 + x2 = 0 Solving -34 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + x2 = 0 + 34 Combine like terms: -34 + 34 = 0 0 + x2 = 0 + 34 x2 = 0 + 34 Combine like terms: 0 + 34 = 34 x2 = 34 Simplifying x2 = 34 Take the square root of each side: x = {-5.830951895, 5.830951895}Solution
x = {0, -5.830951895, 5.830951895}
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