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Simplifying -6x3y3(3xy + 5x2y3 + -2xy2) = 0 Reorder the terms: -6x3y3(3xy + -2xy2 + 5x2y3) = 0 (3xy * -6x3y3 + -2xy2 * -6x3y3 + 5x2y3 * -6x3y3) = 0 (-18x4y4 + 12x4y5 + -30x5y6) = 0 Solving -18x4y4 + 12x4y5 + -30x5y6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x4y4'. 6x4y4(-3 + 2y + -5xy2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x4y4' equal to zero and attempt to solve: Simplifying x4y4 = 0 Solving x4y4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y4 = 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 '(-3 + 2y + -5xy2)' equal to zero and attempt to solve: Simplifying -3 + 2y + -5xy2 = 0 Reorder the terms: -3 + -5xy2 + 2y = 0 Solving -3 + -5xy2 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5xy2 + 3 + 2y = 0 + 3 Reorder the terms: -3 + 3 + -5xy2 + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5xy2 + 2y = 0 + 3 -5xy2 + 2y = 0 + 3 Combine like terms: 0 + 3 = 3 -5xy2 + 2y = 3 Add '-2y' to each side of the equation. -5xy2 + 2y + -2y = 3 + -2y Combine like terms: 2y + -2y = 0 -5xy2 + 0 = 3 + -2y -5xy2 = 3 + -2y Divide each side by '-5y2'. x = -0.6y-2 + 0.4y-1 Simplifying x = -0.6y-2 + 0.4y-1Solution
x = {-0.6y-2 + 0.4y-1}
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