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Simplifying 25xy2 + -36x = 0 Reorder the terms: -36x + 25xy2 = 0 Solving -36x + 25xy2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(-36 + 25y2) = 0 Factor a difference between two squares. x((6 + 5y)(-6 + 5y)) = 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 '(6 + 5y)' equal to zero and attempt to solve: Simplifying 6 + 5y = 0 Solving 6 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 0 + -6 5y = 0 + -6 Combine like terms: 0 + -6 = -6 5y = -6 Add '-5y' to each side of the equation. 5y + -5y = -6 + -5y Combine like terms: 5y + -5y = 0 0 = -6 + -5y Simplifying 0 = -6 + -5y 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 '(-6 + 5y)' equal to zero and attempt to solve: Simplifying -6 + 5y = 0 Solving -6 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 0 + 6 5y = 0 + 6 Combine like terms: 0 + 6 = 6 5y = 6 Add '-5y' to each side of the equation. 5y + -5y = 6 + -5y Combine like terms: 5y + -5y = 0 0 = 6 + -5y Simplifying 0 = 6 + -5y 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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