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Simplifying 24y2x + 7yx + -5x = 0 Reorder the terms: -5x + 7xy + 24xy2 = 0 Solving -5x + 7xy + 24xy2 = 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(-5 + 7y + 24y2) = 0 Factor a trinomial. x((-5 + -8y)(1 + -3y)) = 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 '(-5 + -8y)' equal to zero and attempt to solve: Simplifying -5 + -8y = 0 Solving -5 + -8y = 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 + -8y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8y = 0 + 5 -8y = 0 + 5 Combine like terms: 0 + 5 = 5 -8y = 5 Add '8y' to each side of the equation. -8y + 8y = 5 + 8y Combine like terms: -8y + 8y = 0 0 = 5 + 8y Simplifying 0 = 5 + 8y 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 '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Add '3y' to each side of the equation. -3y + 3y = -1 + 3y Combine like terms: -3y + 3y = 0 0 = -1 + 3y Simplifying 0 = -1 + 3y 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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