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Simplifying x5 + -324x = 0 Reorder the terms: -324x + x5 = 0 Solving -324x + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-324 + x4) = 0 Factor a difference between two squares. x((18 + x2)(-18 + x2)) = 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 '(18 + x2)' equal to zero and attempt to solve: Simplifying 18 + x2 = 0 Solving 18 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x2 = 0 + -18 x2 = 0 + -18 Combine like terms: 0 + -18 = -18 x2 = -18 Simplifying x2 = -18 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-18 + x2)' equal to zero and attempt to solve: Simplifying -18 + x2 = 0 Solving -18 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x2 = 0 + 18 x2 = 0 + 18 Combine like terms: 0 + 18 = 18 x2 = 18 Simplifying x2 = 18 Take the square root of each side: x = {-4.242640687, 4.242640687}Solution
x = {0, -4.242640687, 4.242640687}
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