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Simplifying x5 + -12x3 + 36x = 0 Reorder the terms: 36x + -12x3 + x5 = 0 Solving 36x + -12x3 + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(36 + -12x2 + x4) = 0 Factor a trinomial. x((6 + -1x2)(6 + -1x2)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(6 + -1x2)' equal to zero and attempt to solve: Simplifying 6 + -1x2 = 0 Solving 6 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x2 = 0 + -6 -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x2 = -6 Divide each side by '-1'. x2 = 6 Simplifying x2 = 6 Take the square root of each side: x = {-2.449489743, 2.449489743}Subproblem 3
Set the factor '(6 + -1x2)' equal to zero and attempt to solve: Simplifying 6 + -1x2 = 0 Solving 6 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x2 = 0 + -6 -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x2 = -6 Divide each side by '-1'. x2 = 6 Simplifying x2 = 6 Take the square root of each side: x = {-2.449489743, 2.449489743}Solution
x = {0, -2.449489743, 2.449489743, -2.449489743, 2.449489743}
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