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Simplifying 8x3y + -9xy3 + 4x3y + -1xy3 = 0 Reorder the terms: -9xy3 + -1xy3 + 8x3y + 4x3y = 0 Combine like terms: -9xy3 + -1xy3 = -10xy3 -10xy3 + 8x3y + 4x3y = 0 Combine like terms: 8x3y + 4x3y = 12x3y -10xy3 + 12x3y = 0 Solving -10xy3 + 12x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-5y2 + 6x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(-5y2 + 6x2)' equal to zero and attempt to solve: Simplifying -5y2 + 6x2 = 0 Reorder the terms: 6x2 + -5y2 = 0 Solving 6x2 + -5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5y2' to each side of the equation. 6x2 + -5y2 + 5y2 = 0 + 5y2 Combine like terms: -5y2 + 5y2 = 0 6x2 + 0 = 0 + 5y2 6x2 = 0 + 5y2 Remove the zero: 6x2 = 5y2 Divide each side by '6'. x2 = 0.8333333333y2 Simplifying x2 = 0.8333333333y2 Take the square root of each side: x = {-0.912870929y, 0.912870929y}Solution
x = {-0.912870929y, 0.912870929y}
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