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Simplifying 10x2y + 14xy2 + -16xy = 0 Reorder the terms: -16xy + 14xy2 + 10x2y = 0 Solving -16xy + 14xy2 + 10x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-8 + 7y + 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 '(-8 + 7y + 5x)' equal to zero and attempt to solve: Simplifying -8 + 7y + 5x = 0 Reorder the terms: -8 + 5x + 7y = 0 Solving -8 + 5x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 5x + 8 + 7y = 0 + 8 Reorder the terms: -8 + 8 + 5x + 7y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5x + 7y = 0 + 8 5x + 7y = 0 + 8 Combine like terms: 0 + 8 = 8 5x + 7y = 8 Add '-7y' to each side of the equation. 5x + 7y + -7y = 8 + -7y Combine like terms: 7y + -7y = 0 5x + 0 = 8 + -7y 5x = 8 + -7y Divide each side by '5'. x = 1.6 + -1.4y Simplifying x = 1.6 + -1.4ySolution
x = {1.6 + -1.4y}
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