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Simplifying 6xy + -14x2y + -8xy3 = 0 Reorder the terms: 6xy + -8xy3 + -14x2y = 0 Solving 6xy + -8xy3 + -14x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(3 + -4y2 + -7x) = 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 + -4y2 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -4y2 + -7x = 0 Reorder the terms: 3 + -7x + -4y2 = 0 Solving 3 + -7x + -4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -7x + -3 + -4y2 = 0 + -3 Reorder the terms: 3 + -3 + -7x + -4y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x + -4y2 = 0 + -3 -7x + -4y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -7x + -4y2 = -3 Add '4y2' to each side of the equation. -7x + -4y2 + 4y2 = -3 + 4y2 Combine like terms: -4y2 + 4y2 = 0 -7x + 0 = -3 + 4y2 -7x = -3 + 4y2 Divide each side by '-7'. x = 0.4285714286 + -0.5714285714y2 Simplifying x = 0.4285714286 + -0.5714285714y2Solution
x = {0.4285714286 + -0.5714285714y2}
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