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Simplifying y(y + -2) + y + -2 = 0 Reorder the terms: y(-2 + y) + y + -2 = 0 (-2 * y + y * y) + y + -2 = 0 (-2y + y2) + y + -2 = 0 Reorder the terms: -2 + -2y + y + y2 = 0 Combine like terms: -2y + y = -1y -2 + -1y + y2 = 0 Solving -2 + -1y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(2 + -1y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {-1, 2}
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