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Simplifying -8x2y + xy3 + -1(7x2y + 9xy3 + -1(-8xy3 + -7x2y)) = 0 -8x2y + xy3 + -1(7x2y + 9xy3 + (-8xy3 * -1 + -7x2y * -1)) = 0 -8x2y + xy3 + -1(7x2y + 9xy3 + (8xy3 + 7x2y)) = 0 Reorder the terms: -8x2y + xy3 + -1(9xy3 + 8xy3 + 7x2y + 7x2y) = 0 Combine like terms: 9xy3 + 8xy3 = 17xy3 -8x2y + xy3 + -1(17xy3 + 7x2y + 7x2y) = 0 Combine like terms: 7x2y + 7x2y = 14x2y -8x2y + xy3 + -1(17xy3 + 14x2y) = 0 -8x2y + xy3 + (17xy3 * -1 + 14x2y * -1) = 0 -8x2y + xy3 + (-17xy3 + -14x2y) = 0 Reorder the terms: xy3 + -17xy3 + -8x2y + -14x2y = 0 Combine like terms: xy3 + -17xy3 = -16xy3 -16xy3 + -8x2y + -14x2y = 0 Combine like terms: -8x2y + -14x2y = -22x2y -16xy3 + -22x2y = 0 Solving -16xy3 + -22x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2xy'. -2xy(8y2 + 11x) = 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 '(8y2 + 11x)' equal to zero and attempt to solve: Simplifying 8y2 + 11x = 0 Reorder the terms: 11x + 8y2 = 0 Solving 11x + 8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. 11x + 8y2 + -8y2 = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 11x + 0 = 0 + -8y2 11x = 0 + -8y2 Remove the zero: 11x = -8y2 Divide each side by '11'. x = -0.7272727273y2 Simplifying x = -0.7272727273y2Solution
x = {-0.7272727273y2}
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