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Simplifying (3y + -4)(9 + y) = 0 Reorder the terms: (-4 + 3y)(9 + y) = 0 Multiply (-4 + 3y) * (9 + y) (-4(9 + y) + 3y * (9 + y)) = 0 ((9 * -4 + y * -4) + 3y * (9 + y)) = 0 ((-36 + -4y) + 3y * (9 + y)) = 0 (-36 + -4y + (9 * 3y + y * 3y)) = 0 (-36 + -4y + (27y + 3y2)) = 0 Combine like terms: -4y + 27y = 23y (-36 + 23y + 3y2) = 0 Solving -36 + 23y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y)(4 + -3y) = 0Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 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 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 2
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {-9, 1.333333333}
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