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Simplifying (3y + -5)(y + 5) = 0 Reorder the terms: (-5 + 3y)(y + 5) = 0 Reorder the terms: (-5 + 3y)(5 + y) = 0 Multiply (-5 + 3y) * (5 + y) (-5(5 + y) + 3y * (5 + y)) = 0 ((5 * -5 + y * -5) + 3y * (5 + y)) = 0 ((-25 + -5y) + 3y * (5 + y)) = 0 (-25 + -5y + (5 * 3y + y * 3y)) = 0 (-25 + -5y + (15y + 3y2)) = 0 Combine like terms: -5y + 15y = 10y (-25 + 10y + 3y2) = 0 Solving -25 + 10y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -1y)(5 + -3y) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 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 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {-5, 1.666666667}
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