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Simplifying 4x3 + -36xy2 + 80x = 0 Reorder the terms: 80x + -36xy2 + 4x3 = 0 Solving 80x + -36xy2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(20 + -9y2 + x2) = 0 Ignore the factor 4.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 '(20 + -9y2 + x2)' equal to zero and attempt to solve: Simplifying 20 + -9y2 + x2 = 0 Reorder the terms: 20 + x2 + -9y2 = 0 Solving 20 + x2 + -9y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + x2 + -20 + -9y2 = 0 + -20 Reorder the terms: 20 + -20 + x2 + -9y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x2 + -9y2 = 0 + -20 x2 + -9y2 = 0 + -20 Combine like terms: 0 + -20 = -20 x2 + -9y2 = -20 Add '9y2' to each side of the equation. x2 + -9y2 + 9y2 = -20 + 9y2 Combine like terms: -9y2 + 9y2 = 0 x2 + 0 = -20 + 9y2 x2 = -20 + 9y2 Simplifying x2 = -20 + 9y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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