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Simplifying (3 + -4xy + 5x2 + -1y2) + -1(2y2 + -4xy + -5) = 0 Remove parenthesis around (3 + -4xy + 5x2 + -1y2) 3 + -4xy + 5x2 + -1y2 + -1(2y2 + -4xy + -5) = 0 Reorder the terms: 3 + -4xy + 5x2 + -1y2 + -1(-5 + -4xy + 2y2) = 0 3 + -4xy + 5x2 + -1y2 + (-5 * -1 + -4xy * -1 + 2y2 * -1) = 0 3 + -4xy + 5x2 + -1y2 + (5 + 4xy + -2y2) = 0 Reorder the terms: 3 + 5 + -4xy + 4xy + 5x2 + -1y2 + -2y2 = 0 Combine like terms: 3 + 5 = 8 8 + -4xy + 4xy + 5x2 + -1y2 + -2y2 = 0 Combine like terms: -4xy + 4xy = 0 8 + 0 + 5x2 + -1y2 + -2y2 = 0 8 + 5x2 + -1y2 + -2y2 = 0 Combine like terms: -1y2 + -2y2 = -3y2 8 + 5x2 + -3y2 = 0 Solving 8 + 5x2 + -3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5x2 + -8 + -3y2 = 0 + -8 Reorder the terms: 8 + -8 + 5x2 + -3y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x2 + -3y2 = 0 + -8 5x2 + -3y2 = 0 + -8 Combine like terms: 0 + -8 = -8 5x2 + -3y2 = -8 Add '3y2' to each side of the equation. 5x2 + -3y2 + 3y2 = -8 + 3y2 Combine like terms: -3y2 + 3y2 = 0 5x2 + 0 = -8 + 3y2 5x2 = -8 + 3y2 Divide each side by '5'. x2 = -1.6 + 0.6y2 Simplifying x2 = -1.6 + 0.6y2 Reorder the terms: 1.6 + x2 + -0.6y2 = -1.6 + 0.6y2 + 1.6 + -0.6y2 Reorder the terms: 1.6 + x2 + -0.6y2 = -1.6 + 1.6 + 0.6y2 + -0.6y2 Combine like terms: -1.6 + 1.6 = 0.0 1.6 + x2 + -0.6y2 = 0.0 + 0.6y2 + -0.6y2 1.6 + x2 + -0.6y2 = 0.6y2 + -0.6y2 Combine like terms: 0.6y2 + -0.6y2 = 0.0 1.6 + x2 + -0.6y2 = 0.0 The solution to this equation could not be determined.
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