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Simplifying 4x4 + -31x2 = 0 Reorder the terms: -31x2 + 4x4 = 0 Solving -31x2 + 4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-31 + 4x2) = 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 '(-31 + 4x2)' equal to zero and attempt to solve: Simplifying -31 + 4x2 = 0 Solving -31 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 4x2 = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 4x2 = 0 + 31 4x2 = 0 + 31 Combine like terms: 0 + 31 = 31 4x2 = 31 Divide each side by '4'. x2 = 7.75 Simplifying x2 = 7.75 Take the square root of each side: x = {-2.783882181, 2.783882181}Solution
x = {0, -2.783882181, 2.783882181}
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