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Simplifying (4y + 9)(y + -3) = 0 Reorder the terms: (9 + 4y)(y + -3) = 0 Reorder the terms: (9 + 4y)(-3 + y) = 0 Multiply (9 + 4y) * (-3 + y) (9(-3 + y) + 4y * (-3 + y)) = 0 ((-3 * 9 + y * 9) + 4y * (-3 + y)) = 0 ((-27 + 9y) + 4y * (-3 + y)) = 0 (-27 + 9y + (-3 * 4y + y * 4y)) = 0 (-27 + 9y + (-12y + 4y2)) = 0 Combine like terms: 9y + -12y = -3y (-27 + -3y + 4y2) = 0 Solving -27 + -3y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -4y)(3 + -1y) = 0Subproblem 1
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 = -2.25Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-2.25, 3}
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