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Simplifying 5x2 + -4x4 = 0 Solving 5x2 + -4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(5 + -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 '(5 + -4x2)' equal to zero and attempt to solve: Simplifying 5 + -4x2 = 0 Solving 5 + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x2 = 0 + -5 -4x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4x2 = -5 Divide each side by '-4'. x2 = 1.25 Simplifying x2 = 1.25 Take the square root of each side: x = {-1.118033989, 1.118033989}Solution
x = {0, -1.118033989, 1.118033989}
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