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Simplifying (5y + 2)(5 + -1y) = 0 Reorder the terms: (2 + 5y)(5 + -1y) = 0 Multiply (2 + 5y) * (5 + -1y) (2(5 + -1y) + 5y * (5 + -1y)) = 0 ((5 * 2 + -1y * 2) + 5y * (5 + -1y)) = 0 ((10 + -2y) + 5y * (5 + -1y)) = 0 (10 + -2y + (5 * 5y + -1y * 5y)) = 0 (10 + -2y + (25y + -5y2)) = 0 Combine like terms: -2y + 25y = 23y (10 + 23y + -5y2) = 0 Solving 10 + 23y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -1y)(2 + 5y) = 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 '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 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 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {5, -0.4}
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