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Simplifying (2y + 5)(3y + -3) = 0 Reorder the terms: (5 + 2y)(3y + -3) = 0 Reorder the terms: (5 + 2y)(-3 + 3y) = 0 Multiply (5 + 2y) * (-3 + 3y) (5(-3 + 3y) + 2y * (-3 + 3y)) = 0 ((-3 * 5 + 3y * 5) + 2y * (-3 + 3y)) = 0 ((-15 + 15y) + 2y * (-3 + 3y)) = 0 (-15 + 15y + (-3 * 2y + 3y * 2y)) = 0 (-15 + 15y + (-6y + 6y2)) = 0 Combine like terms: 15y + -6y = 9y (-15 + 9y + 6y2) = 0 Solving -15 + 9y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 3y + 2y2) = 0 Factor a trinomial. 3((-5 + -2y)(1 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -2y)' equal to zero and attempt to solve: Simplifying -5 + -2y = 0 Solving -5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 0 + 5 -2y = 0 + 5 Combine like terms: 0 + 5 = 5 -2y = 5 Divide each side by '-2'. y = -2.5 Simplifying y = -2.5Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-2.5, 1}
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