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Simplifying (1 + -4y)(5 + -1y) = 0 Multiply (1 + -4y) * (5 + -1y) (1(5 + -1y) + -4y * (5 + -1y)) = 0 ((5 * 1 + -1y * 1) + -4y * (5 + -1y)) = 0 ((5 + -1y) + -4y * (5 + -1y)) = 0 (5 + -1y + (5 * -4y + -1y * -4y)) = 0 (5 + -1y + (-20y + 4y2)) = 0 Combine like terms: -1y + -20y = -21y (5 + -21y + 4y2) = 0 Solving 5 + -21y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -4y)(5 + -1y) = 0Subproblem 1
Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 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 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25Subproblem 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 = {0.25, 5}
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