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Simplifying 8x2y + 12x3y2 = 4x2y Solving 8x2y + 12x3y2 = 4x2y Solving for variable 'x'. Reorder the terms: 8x2y + -4x2y + 12x3y2 = 4x2y + -4x2y Combine like terms: 8x2y + -4x2y = 4x2y 4x2y + 12x3y2 = 4x2y + -4x2y Combine like terms: 4x2y + -4x2y = 0 4x2y + 12x3y2 = 0 Factor out the Greatest Common Factor (GCF), '4x2y'. 4x2y(1 + 3xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(1 + 3xy)' equal to zero and attempt to solve: Simplifying 1 + 3xy = 0 Solving 1 + 3xy = 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 + 3xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3xy = 0 + -1 3xy = 0 + -1 Combine like terms: 0 + -1 = -1 3xy = -1 Divide each side by '3y'. x = -0.3333333333y-1 Simplifying x = -0.3333333333y-1Solution
x = {-0.3333333333y-1}
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