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Simplifying (2y + -1)(y + -2) = 0 Reorder the terms: (-1 + 2y)(y + -2) = 0 Reorder the terms: (-1 + 2y)(-2 + y) = 0 Multiply (-1 + 2y) * (-2 + y) (-1(-2 + y) + 2y * (-2 + y)) = 0 ((-2 * -1 + y * -1) + 2y * (-2 + y)) = 0 ((2 + -1y) + 2y * (-2 + y)) = 0 (2 + -1y + (-2 * 2y + y * 2y)) = 0 (2 + -1y + (-4y + 2y2)) = 0 Combine like terms: -1y + -4y = -5y (2 + -5y + 2y2) = 0 Solving 2 + -5y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -2y)(2 + -1y) = 0Subproblem 1
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Subproblem 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 = {0.5, 2}
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