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Simplifying (6x2y + -5xy2)(x2y) = 0 Reorder the terms: (-5xy2 + 6x2y)(x2y) = 0 Reorder the terms for easier multiplication: x2y(-5xy2 + 6x2y) = 0 (-5xy2 * x2y + 6x2y * x2y) = 0 (-5x3y3 + 6x4y2) = 0 Solving -5x3y3 + 6x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3y2'. x3y2(-5y + 6x) = 0Subproblem 1
Set the factor 'x3y2' equal to zero and attempt to solve: Simplifying x3y2 = 0 Solving x3y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y2 = 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 '(-5y + 6x)' equal to zero and attempt to solve: Simplifying -5y + 6x = 0 Reorder the terms: 6x + -5y = 0 Solving 6x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 6x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 6x + 0 = 0 + 5y 6x = 0 + 5y Remove the zero: 6x = 5y Divide each side by '6'. x = 0.8333333333y Simplifying x = 0.8333333333ySolution
x = {0.8333333333y}
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