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Simplifying 32X5 + -72X = 0 Reorder the terms: -72X + 32X5 = 0 Solving -72X + 32X5 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '8X'. 8X(-9 + 4X4) = 0 Factor a difference between two squares. 8X((3 + 2X2)(-3 + 2X2)) = 0 Ignore the factor 8.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 '(3 + 2X2)' equal to zero and attempt to solve: Simplifying 3 + 2X2 = 0 Solving 3 + 2X2 = 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 + 2X2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2X2 = 0 + -3 2X2 = 0 + -3 Combine like terms: 0 + -3 = -3 2X2 = -3 Divide each side by '2'. X2 = -1.5 Simplifying X2 = -1.5 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 '(-3 + 2X2)' equal to zero and attempt to solve: Simplifying -3 + 2X2 = 0 Solving -3 + 2X2 = 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 + 2X2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2X2 = 0 + 3 2X2 = 0 + 3 Combine like terms: 0 + 3 = 3 2X2 = 3 Divide each side by '2'. X2 = 1.5 Simplifying X2 = 1.5 Take the square root of each side: X = {-1.224744871, 1.224744871}Solution
X = {0, -1.224744871, 1.224744871}
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