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Simplifying 12x2y + 13xy2 + -2x2y + 15xy2 = 0 Reorder the terms: 13xy2 + 15xy2 + 12x2y + -2x2y = 0 Combine like terms: 13xy2 + 15xy2 = 28xy2 28xy2 + 12x2y + -2x2y = 0 Combine like terms: 12x2y + -2x2y = 10x2y 28xy2 + 10x2y = 0 Solving 28xy2 + 10x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(14y + 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 '(14y + 5x)' equal to zero and attempt to solve: Simplifying 14y + 5x = 0 Reorder the terms: 5x + 14y = 0 Solving 5x + 14y = 0 Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. 5x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 5x + 0 = 0 + -14y 5x = 0 + -14y Remove the zero: 5x = -14y Divide each side by '5'. x = -2.8y Simplifying x = -2.8ySolution
x = {-2.8y}
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