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Simplifying 0 = x4 + -3x2 Reorder the terms: 0 = -3x2 + x4 Solving 0 = -3x2 + x4 Solving for variable 'x'. Remove the zero: 3x2 + -1x4 = -3x2 + x4 + 3x2 + -1x4 Reorder the terms: 3x2 + -1x4 = -3x2 + 3x2 + x4 + -1x4 Combine like terms: -3x2 + 3x2 = 0 3x2 + -1x4 = 0 + x4 + -1x4 3x2 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 3x2 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(3 + -1x2) = 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 '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {0, -1.732050808, 1.732050808}
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