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Simplifying 10x2y3 + -12xy2 + 14xy = 0 Reorder the terms: 14xy + -12xy2 + 10x2y3 = 0 Solving 14xy + -12xy2 + 10x2y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(7 + -6y + 5xy2) = 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 '(7 + -6y + 5xy2)' equal to zero and attempt to solve: Simplifying 7 + -6y + 5xy2 = 0 Reorder the terms: 7 + 5xy2 + -6y = 0 Solving 7 + 5xy2 + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5xy2 + -7 + -6y = 0 + -7 Reorder the terms: 7 + -7 + 5xy2 + -6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5xy2 + -6y = 0 + -7 5xy2 + -6y = 0 + -7 Combine like terms: 0 + -7 = -7 5xy2 + -6y = -7 Add '6y' to each side of the equation. 5xy2 + -6y + 6y = -7 + 6y Combine like terms: -6y + 6y = 0 5xy2 + 0 = -7 + 6y 5xy2 = -7 + 6y Divide each side by '5y2'. x = -1.4y-2 + 1.2y-1 Simplifying x = -1.4y-2 + 1.2y-1Solution
x = {-1.4y-2 + 1.2y-1}
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