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