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Simplifying 3y(2y + -5) = 75 Reorder the terms: 3y(-5 + 2y) = 75 (-5 * 3y + 2y * 3y) = 75 (-15y + 6y2) = 75 Solving -15y + 6y2 = 75 Solving for variable 'y'. Reorder the terms: -75 + -15y + 6y2 = 75 + -75 Combine like terms: 75 + -75 = 0 -75 + -15y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-25 + -5y + 2y2) = 0 Factor a trinomial. 3((-5 + -2y)(5 + -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 '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-2.5, 5}
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