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Simplifying (2y + -1)(2y + -5) = 0 Reorder the terms: (-1 + 2y)(2y + -5) = 0 Reorder the terms: (-1 + 2y)(-5 + 2y) = 0 Multiply (-1 + 2y) * (-5 + 2y) (-1(-5 + 2y) + 2y * (-5 + 2y)) = 0 ((-5 * -1 + 2y * -1) + 2y * (-5 + 2y)) = 0 ((5 + -2y) + 2y * (-5 + 2y)) = 0 (5 + -2y + (-5 * 2y + 2y * 2y)) = 0 (5 + -2y + (-10y + 4y2)) = 0 Combine like terms: -2y + -10y = -12y (5 + -12y + 4y2) = 0 Solving 5 + -12y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -2y)(5 + -2y) = 0Subproblem 1
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Subproblem 2
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 = 2.5Solution
y = {0.5, 2.5}
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