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Simplifying (2y + 3)(y + -3) = 0 Reorder the terms: (3 + 2y)(y + -3) = 0 Reorder the terms: (3 + 2y)(-3 + y) = 0 Multiply (3 + 2y) * (-3 + y) (3(-3 + y) + 2y * (-3 + y)) = 0 ((-3 * 3 + y * 3) + 2y * (-3 + y)) = 0 ((-9 + 3y) + 2y * (-3 + y)) = 0 (-9 + 3y + (-3 * 2y + y * 2y)) = 0 (-9 + 3y + (-6y + 2y2)) = 0 Combine like terms: 3y + -6y = -3y (-9 + -3y + 2y2) = 0 Solving -9 + -3y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -2y)(3 + -1y) = 0Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5Subproblem 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 = {-1.5, 3}
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