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Simplifying (2 + -1y)(9 + -4y) = 0 Multiply (2 + -1y) * (9 + -4y) (2(9 + -4y) + -1y * (9 + -4y)) = 0 ((9 * 2 + -4y * 2) + -1y * (9 + -4y)) = 0 ((18 + -8y) + -1y * (9 + -4y)) = 0 (18 + -8y + (9 * -1y + -4y * -1y)) = 0 (18 + -8y + (-9y + 4y2)) = 0 Combine like terms: -8y + -9y = -17y (18 + -17y + 4y2) = 0 Solving 18 + -17y + 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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