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Simplifying 18x5 + -32x = 0 Reorder the terms: -32x + 18x5 = 0 Solving -32x + 18x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-16 + 9x4) = 0 Factor a difference between two squares. 2x((4 + 3x2)(-4 + 3x2)) = 0 Ignore the factor 2.Subproblem 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 + 3x2)' equal to zero and attempt to solve: Simplifying 4 + 3x2 = 0 Solving 4 + 3x2 = 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 + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x2 = 0 + -4 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x2 = -4 Divide each side by '3'. x2 = -1.333333333 Simplifying x2 = -1.333333333 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 '(-4 + 3x2)' equal to zero and attempt to solve: Simplifying -4 + 3x2 = 0 Solving -4 + 3x2 = 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 + 3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x2 = 0 + 4 3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 3x2 = 4 Divide each side by '3'. x2 = 1.333333333 Simplifying x2 = 1.333333333 Take the square root of each side: x = {-1.154700538, 1.154700538}Solution
x = {0, -1.154700538, 1.154700538}
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