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Simplifying F(x) = (9y2 + -9y + 3) + -1(6y2 + -9y + 6) Multiply F * x xF = (9y2 + -9y + 3) + -1(6y2 + -9y + 6) Reorder the terms: xF = (3 + -9y + 9y2) + -1(6y2 + -9y + 6) Remove parenthesis around (3 + -9y + 9y2) xF = 3 + -9y + 9y2 + -1(6y2 + -9y + 6) Reorder the terms: xF = 3 + -9y + 9y2 + -1(6 + -9y + 6y2) xF = 3 + -9y + 9y2 + (6 * -1 + -9y * -1 + 6y2 * -1) xF = 3 + -9y + 9y2 + (-6 + 9y + -6y2) Reorder the terms: xF = 3 + -6 + -9y + 9y + 9y2 + -6y2 Combine like terms: 3 + -6 = -3 xF = -3 + -9y + 9y + 9y2 + -6y2 Combine like terms: -9y + 9y = 0 xF = -3 + 0 + 9y2 + -6y2 xF = -3 + 9y2 + -6y2 Combine like terms: 9y2 + -6y2 = 3y2 xF = -3 + 3y2 Solving xF = -3 + 3y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by 'F'. x = -3F-1 + 3y2F-1 Simplifying x = -3F-1 + 3y2F-1
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