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Simplifying 5xy2 + -3x + 2y2 + 7x + 13xy2 = 0 Reorder the terms: -3x + 7x + 5xy2 + 13xy2 + 2y2 = 0 Combine like terms: -3x + 7x = 4x 4x + 5xy2 + 13xy2 + 2y2 = 0 Combine like terms: 5xy2 + 13xy2 = 18xy2 4x + 18xy2 + 2y2 = 0 Solving 4x + 18xy2 + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 4x + 18xy2 + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 4x + 18xy2 + 0 = 0 + -2y2 4x + 18xy2 = 0 + -2y2 Remove the zero: 4x + 18xy2 = -2y2 Combine like terms: -2y2 + 2y2 = 0 4x + 18xy2 + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2x + 9xy2 + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2x + 9xy2 + y2)' equal to zero and attempt to solve: Simplifying 2x + 9xy2 + y2 = 0 Solving 2x + 9xy2 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 2x + 9xy2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 2x + 9xy2 + 0 = 0 + -1y2 2x + 9xy2 = 0 + -1y2 Remove the zero: 2x + 9xy2 = -1y2 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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