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Simplifying 10x2y + -8xy2 + 6xy = 0 Reorder the terms: 6xy + -8xy2 + 10x2y = 0 Solving 6xy + -8xy2 + 10x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(3 + -4y + 5x) = 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 '(3 + -4y + 5x)' equal to zero and attempt to solve: Simplifying 3 + -4y + 5x = 0 Reorder the terms: 3 + 5x + -4y = 0 Solving 3 + 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5x + -3 + -4y = 0 + -3 Reorder the terms: 3 + -3 + 5x + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x + -4y = 0 + -3 5x + -4y = 0 + -3 Combine like terms: 0 + -3 = -3 5x + -4y = -3 Add '4y' to each side of the equation. 5x + -4y + 4y = -3 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = -3 + 4y 5x = -3 + 4y Divide each side by '5'. x = -0.6 + 0.8y Simplifying x = -0.6 + 0.8ySolution
x = {-0.6 + 0.8y}
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