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Simplifying (3x2 + 4y2 + -7) + -1(9x2 + 4y2 + -6) = 0 Reorder the terms: (-7 + 3x2 + 4y2) + -1(9x2 + 4y2 + -6) = 0 Remove parenthesis around (-7 + 3x2 + 4y2) -7 + 3x2 + 4y2 + -1(9x2 + 4y2 + -6) = 0 Reorder the terms: -7 + 3x2 + 4y2 + -1(-6 + 9x2 + 4y2) = 0 -7 + 3x2 + 4y2 + (-6 * -1 + 9x2 * -1 + 4y2 * -1) = 0 -7 + 3x2 + 4y2 + (6 + -9x2 + -4y2) = 0 Reorder the terms: -7 + 6 + 3x2 + -9x2 + 4y2 + -4y2 = 0 Combine like terms: -7 + 6 = -1 -1 + 3x2 + -9x2 + 4y2 + -4y2 = 0 Combine like terms: 3x2 + -9x2 = -6x2 -1 + -6x2 + 4y2 + -4y2 = 0 Combine like terms: 4y2 + -4y2 = 0 -1 + -6x2 + 0 = 0 -1 + -6x2 = 0 Solving -1 + -6x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -6x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x2 = 0 + 1 -6x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -6x2 = 1 Divide each side by '-6'. x2 = -0.1666666667 Simplifying x2 = -0.1666666667 Reorder the terms: 0.1666666667 + x2 = -0.1666666667 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.1666666667 + x2 = 0.0000000000 The solution to this equation could not be determined.
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