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Simplifying (5y + -1)(2y + 4) = 0 Reorder the terms: (-1 + 5y)(2y + 4) = 0 Reorder the terms: (-1 + 5y)(4 + 2y) = 0 Multiply (-1 + 5y) * (4 + 2y) (-1(4 + 2y) + 5y * (4 + 2y)) = 0 ((4 * -1 + 2y * -1) + 5y * (4 + 2y)) = 0 ((-4 + -2y) + 5y * (4 + 2y)) = 0 (-4 + -2y + (4 * 5y + 2y * 5y)) = 0 (-4 + -2y + (20y + 10y2)) = 0 Combine like terms: -2y + 20y = 18y (-4 + 18y + 10y2) = 0 Solving -4 + 18y + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 9y + 5y2) = 0 Factor a trinomial. 2((-2 + -1y)(1 + -5y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(1 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 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 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2Solution
y = {-2, 0.2}
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