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Simplifying 81x5 + -16x = 0 Reorder the terms: -16x + 81x5 = 0 Solving -16x + 81x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-16 + 81x4) = 0 Factor a difference between two squares. x((4 + 9x2)(-4 + 9x2)) = 0 Factor a difference between two squares. x((4 + 9x2)((2 + 3x)(-2 + 3x))) = 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 '(4 + 9x2)' equal to zero and attempt to solve: Simplifying 4 + 9x2 = 0 Solving 4 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x2 = 0 + -4 9x2 = 0 + -4 Combine like terms: 0 + -4 = -4 9x2 = -4 Divide each side by '9'. x2 = -0.4444444444 Simplifying x2 = -0.4444444444 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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 4
Set the factor '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, -0.6666666667, 0.6666666667}
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