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Simplifying 10x2y + 4xy = 12xy2 Reorder the terms: 4xy + 10x2y = 12xy2 Solving 4xy + 10x2y = 12xy2 Solving for variable 'x'. Reorder the terms: 4xy + -12xy2 + 10x2y = 12xy2 + -12xy2 Combine like terms: 12xy2 + -12xy2 = 0 4xy + -12xy2 + 10x2y = 0 Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(2 + -6y + 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 '(2 + -6y + 5x)' equal to zero and attempt to solve: Simplifying 2 + -6y + 5x = 0 Reorder the terms: 2 + 5x + -6y = 0 Solving 2 + 5x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5x + -2 + -6y = 0 + -2 Reorder the terms: 2 + -2 + 5x + -6y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x + -6y = 0 + -2 5x + -6y = 0 + -2 Combine like terms: 0 + -2 = -2 5x + -6y = -2 Add '6y' to each side of the equation. 5x + -6y + 6y = -2 + 6y Combine like terms: -6y + 6y = 0 5x + 0 = -2 + 6y 5x = -2 + 6y Divide each side by '5'. x = -0.4 + 1.2y Simplifying x = -0.4 + 1.2ySolution
x = {-0.4 + 1.2y}
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