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Simplifying (2xy2 + -10x)(3y2 + 6) = 0 Reorder the terms: (-10x + 2xy2)(3y2 + 6) = 0 Reorder the terms: (-10x + 2xy2)(6 + 3y2) = 0 Multiply (-10x + 2xy2) * (6 + 3y2) (-10x * (6 + 3y2) + 2xy2 * (6 + 3y2)) = 0 ((6 * -10x + 3y2 * -10x) + 2xy2 * (6 + 3y2)) = 0 ((-60x + -30xy2) + 2xy2 * (6 + 3y2)) = 0 (-60x + -30xy2 + (6 * 2xy2 + 3y2 * 2xy2)) = 0 (-60x + -30xy2 + (12xy2 + 6xy4)) = 0 Combine like terms: -30xy2 + 12xy2 = -18xy2 (-60x + -18xy2 + 6xy4) = 0 Solving -60x + -18xy2 + 6xy4 = 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), '6x'. 6x(-10 + -3y2 + y4) = 0 Factor a trinomial. 6x((-2 + -1y2)(5 + -1y2)) = 0 Ignore the factor 6.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 '(-2 + -1y2)' equal to zero and attempt to solve: Simplifying -2 + -1y2 = 0 Solving -2 + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y2 = 0 + 2 -1y2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1y2 = 2 Add 'y2' to each side of the equation. -1y2 + y2 = 2 + y2 Combine like terms: -1y2 + y2 = 0 0 = 2 + y2 Simplifying 0 = 2 + y2 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 '(5 + -1y2)' equal to zero and attempt to solve: Simplifying 5 + -1y2 = 0 Solving 5 + -1y2 = 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 + -1y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y2 = 0 + -5 -1y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1y2 = -5 Add 'y2' to each side of the equation. -1y2 + y2 = -5 + y2 Combine like terms: -1y2 + y2 = 0 0 = -5 + y2 Simplifying 0 = -5 + y2 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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