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Simplifying (1 + -2y)(5 + -4y) = 0 Multiply (1 + -2y) * (5 + -4y) (1(5 + -4y) + -2y * (5 + -4y)) = 0 ((5 * 1 + -4y * 1) + -2y * (5 + -4y)) = 0 ((5 + -4y) + -2y * (5 + -4y)) = 0 (5 + -4y + (5 * -2y + -4y * -2y)) = 0 (5 + -4y + (-10y + 8y2)) = 0 Combine like terms: -4y + -10y = -14y (5 + -14y + 8y2) = 0 Solving 5 + -14y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -2y)(5 + -4y) = 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 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 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 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Solution
y = {0.5, 1.25}
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