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Simplifying 72X6 + -50X4 = 0 Reorder the terms: -50X4 + 72X6 = 0 Solving -50X4 + 72X6 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X4'. 2X4(-25 + 36X2) = 0 Factor a difference between two squares. 2X4((5 + 6X)(-5 + 6X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'X4' equal to zero and attempt to solve: Simplifying X4 = 0 Solving X4 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 6X)' equal to zero and attempt to solve: Simplifying 5 + 6X = 0 Solving 5 + 6X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6X = 0 + -5 6X = 0 + -5 Combine like terms: 0 + -5 = -5 6X = -5 Divide each side by '6'. X = -0.8333333333 Simplifying X = -0.8333333333Subproblem 3
Set the factor '(-5 + 6X)' equal to zero and attempt to solve: Simplifying -5 + 6X = 0 Solving -5 + 6X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6X = 0 + 5 6X = 0 + 5 Combine like terms: 0 + 5 = 5 6X = 5 Divide each side by '6'. X = 0.8333333333 Simplifying X = 0.8333333333Solution
X = {-0.8333333333, 0.8333333333}
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