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Simplifying 8x3y + -6xy2 + 2x = 0 Reorder the terms: 2x + -6xy2 + 8x3y = 0 Solving 2x + -6xy2 + 8x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + -3y2 + 4x2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + -3y2 + 4x2y)' equal to zero and attempt to solve: Simplifying 1 + -3y2 + 4x2y = 0 Reorder the terms: 1 + 4x2y + -3y2 = 0 Solving 1 + 4x2y + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4x2y + -1 + -3y2 = 0 + -1 Reorder the terms: 1 + -1 + 4x2y + -3y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x2y + -3y2 = 0 + -1 4x2y + -3y2 = 0 + -1 Combine like terms: 0 + -1 = -1 4x2y + -3y2 = -1 Add '3y2' to each side of the equation. 4x2y + -3y2 + 3y2 = -1 + 3y2 Combine like terms: -3y2 + 3y2 = 0 4x2y + 0 = -1 + 3y2 4x2y = -1 + 3y2 Divide each side by '4y'. x2 = -0.25y-1 + 0.75y Simplifying x2 = -0.25y-1 + 0.75y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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