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Simplifying (x2 + -6xy + -7y2) + -1(x2 + xy) = 0 Reorder the terms: (-6xy + x2 + -7y2) + -1(x2 + xy) = 0 Remove parenthesis around (-6xy + x2 + -7y2) -6xy + x2 + -7y2 + -1(x2 + xy) = 0 Reorder the terms: -6xy + x2 + -7y2 + -1(xy + x2) = 0 -6xy + x2 + -7y2 + (xy * -1 + x2 * -1) = 0 -6xy + x2 + -7y2 + (-1xy + -1x2) = 0 Reorder the terms: -6xy + -1xy + x2 + -1x2 + -7y2 = 0 Combine like terms: -6xy + -1xy = -7xy -7xy + x2 + -1x2 + -7y2 = 0 Combine like terms: x2 + -1x2 = 0 -7xy + 0 + -7y2 = 0 -7xy + -7y2 = 0 Solving -7xy + -7y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y2' to each side of the equation. -7xy + -7y2 + 7y2 = 0 + 7y2 Combine like terms: -7y2 + 7y2 = 0 -7xy + 0 = 0 + 7y2 -7xy = 0 + 7y2 Remove the zero: -7xy = 7y2 Divide each side by '-7y'. x = -1y Simplifying x = -1y
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