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Simplifying 3xy2 + 2x + 4y2 + -7xy2 = 0 Reorder the terms: 2x + 3xy2 + -7xy2 + 4y2 = 0 Combine like terms: 3xy2 + -7xy2 = -4xy2 2x + -4xy2 + 4y2 = 0 Solving 2x + -4xy2 + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 2x + -4xy2 + 4y2 + -4y2 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 2x + -4xy2 + 0 = 0 + -4y2 2x + -4xy2 = 0 + -4y2 Remove the zero: 2x + -4xy2 = -4y2 Combine like terms: -4y2 + 4y2 = 0 2x + -4xy2 + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(x + -2xy2 + 2y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + -2xy2 + 2y2)' equal to zero and attempt to solve: Simplifying x + -2xy2 + 2y2 = 0 Solving x + -2xy2 + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. x + -2xy2 + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 x + -2xy2 + 0 = 0 + -2y2 x + -2xy2 = 0 + -2y2 Remove the zero: x + -2xy2 = -2y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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