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Simplifying 125x4 + -325x2 = 0 Reorder the terms: -325x2 + 125x4 = 0 Solving -325x2 + 125x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25x2'. 25x2(-13 + 5x2) = 0 Ignore the factor 25.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 '(-13 + 5x2)' equal to zero and attempt to solve: Simplifying -13 + 5x2 = 0 Solving -13 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 5x2 = 0 + 13 5x2 = 0 + 13 Combine like terms: 0 + 13 = 13 5x2 = 13 Divide each side by '5'. x2 = 2.6 Simplifying x2 = 2.6 Take the square root of each side: x = {-1.61245155, 1.61245155}Solution
x = {0, -1.61245155, 1.61245155}
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