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Simplifying y2 + -1(y + 1) = y(y + -1) Reorder the terms: y2 + -1(1 + y) = y(y + -1) y2 + (1 * -1 + y * -1) = y(y + -1) y2 + (-1 + -1y) = y(y + -1) Reorder the terms: -1 + -1y + y2 = y(y + -1) Reorder the terms: -1 + -1y + y2 = y(-1 + y) -1 + -1y + y2 = (-1 * y + y * y) -1 + -1y + y2 = (-1y + y2) Add 'y' to each side of the equation. -1 + -1y + y + y2 = -1y + y + y2 Combine like terms: -1y + y = 0 -1 + 0 + y2 = -1y + y + y2 -1 + y2 = -1y + y + y2 Combine like terms: -1y + y = 0 -1 + y2 = 0 + y2 -1 + y2 = y2 Add '-1y2' to each side of the equation. -1 + y2 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1 + 0 = y2 + -1y2 -1 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1 = 0 Solving -1 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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