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Simplifying (2 + y)(4y + -9) = 0 Reorder the terms: (2 + y)(-9 + 4y) = 0 Multiply (2 + y) * (-9 + 4y) (2(-9 + 4y) + y(-9 + 4y)) = 0 ((-9 * 2 + 4y * 2) + y(-9 + 4y)) = 0 ((-18 + 8y) + y(-9 + 4y)) = 0 (-18 + 8y + (-9 * y + 4y * y)) = 0 (-18 + 8y + (-9y + 4y2)) = 0 Combine like terms: 8y + -9y = -1y (-18 + -1y + 4y2) = 0 Solving -18 + -1y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(9 + -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 '(9 + -4y)' equal to zero and attempt to solve: Simplifying 9 + -4y = 0 Solving 9 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 0 + -9 -4y = 0 + -9 Combine like terms: 0 + -9 = -9 -4y = -9 Divide each side by '-4'. y = 2.25 Simplifying y = 2.25Solution
y = {-2, 2.25}
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