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Simplifying (2 + -3xy + 9x2 + -1y2) + -1(6y2 + -3xy + -4) = 0 Remove parenthesis around (2 + -3xy + 9x2 + -1y2) 2 + -3xy + 9x2 + -1y2 + -1(6y2 + -3xy + -4) = 0 Reorder the terms: 2 + -3xy + 9x2 + -1y2 + -1(-4 + -3xy + 6y2) = 0 2 + -3xy + 9x2 + -1y2 + (-4 * -1 + -3xy * -1 + 6y2 * -1) = 0 2 + -3xy + 9x2 + -1y2 + (4 + 3xy + -6y2) = 0 Reorder the terms: 2 + 4 + -3xy + 3xy + 9x2 + -1y2 + -6y2 = 0 Combine like terms: 2 + 4 = 6 6 + -3xy + 3xy + 9x2 + -1y2 + -6y2 = 0 Combine like terms: -3xy + 3xy = 0 6 + 0 + 9x2 + -1y2 + -6y2 = 0 6 + 9x2 + -1y2 + -6y2 = 0 Combine like terms: -1y2 + -6y2 = -7y2 6 + 9x2 + -7y2 = 0 Solving 6 + 9x2 + -7y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9x2 + -6 + -7y2 = 0 + -6 Reorder the terms: 6 + -6 + 9x2 + -7y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9x2 + -7y2 = 0 + -6 9x2 + -7y2 = 0 + -6 Combine like terms: 0 + -6 = -6 9x2 + -7y2 = -6 Add '7y2' to each side of the equation. 9x2 + -7y2 + 7y2 = -6 + 7y2 Combine like terms: -7y2 + 7y2 = 0 9x2 + 0 = -6 + 7y2 9x2 = -6 + 7y2 Divide each side by '9'. x2 = -0.6666666667 + 0.7777777778y2 Simplifying x2 = -0.6666666667 + 0.7777777778y2 Reorder the terms: 0.6666666667 + x2 + -0.7777777778y2 = -0.6666666667 + 0.7777777778y2 + 0.6666666667 + -0.7777777778y2 Reorder the terms: 0.6666666667 + x2 + -0.7777777778y2 = -0.6666666667 + 0.6666666667 + 0.7777777778y2 + -0.7777777778y2 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.6666666667 + x2 + -0.7777777778y2 = 0.0000000000 + 0.7777777778y2 + -0.7777777778y2 0.6666666667 + x2 + -0.7777777778y2 = 0.7777777778y2 + -0.7777777778y2 Combine like terms: 0.7777777778y2 + -0.7777777778y2 = 0.0000000000 0.6666666667 + x2 + -0.7777777778y2 = 0.0000000000 The solution to this equation could not be determined.
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