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Simplifying (2y + 5)(y + -5) = 0 Reorder the terms: (5 + 2y)(y + -5) = 0 Reorder the terms: (5 + 2y)(-5 + y) = 0 Multiply (5 + 2y) * (-5 + y) (5(-5 + y) + 2y * (-5 + y)) = 0 ((-5 * 5 + y * 5) + 2y * (-5 + y)) = 0 ((-25 + 5y) + 2y * (-5 + y)) = 0 (-25 + 5y + (-5 * 2y + y * 2y)) = 0 (-25 + 5y + (-10y + 2y2)) = 0 Combine like terms: 5y + -10y = -5y (-25 + -5y + 2y2) = 0 Solving -25 + -5y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -2y)(5 + -1y) = 0Subproblem 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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