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Simplifying (4y + -1)(y + 2) = 0 Reorder the terms: (-1 + 4y)(y + 2) = 0 Reorder the terms: (-1 + 4y)(2 + y) = 0 Multiply (-1 + 4y) * (2 + y) (-1(2 + y) + 4y * (2 + y)) = 0 ((2 * -1 + y * -1) + 4y * (2 + y)) = 0 ((-2 + -1y) + 4y * (2 + y)) = 0 (-2 + -1y + (2 * 4y + y * 4y)) = 0 (-2 + -1y + (8y + 4y2)) = 0 Combine like terms: -1y + 8y = 7y (-2 + 7y + 4y2) = 0 Solving -2 + 7y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(1 + -4y) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 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 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25Solution
y = {-2, 0.25}
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