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Simplifying 10x3y + -12x2y2 = 0 Reorder the terms: -12x2y2 + 10x3y = 0 Solving -12x2y2 + 10x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2y'. 2x2y(-6y + 5x) = 0 Ignore the factor 2.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 '(-6y + 5x)' equal to zero and attempt to solve: Simplifying -6y + 5x = 0 Reorder the terms: 5x + -6y = 0 Solving 5x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 5x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 5x + 0 = 0 + 6y 5x = 0 + 6y Remove the zero: 5x = 6y Divide each side by '5'. x = 1.2y Simplifying x = 1.2ySolution
x = {1.2y}
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