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Simplifying (y + -4)(y + -2) = 0 Reorder the terms: (-4 + y)(y + -2) = 0 Reorder the terms: (-4 + y)(-2 + y) = 0 Multiply (-4 + y) * (-2 + y) (-4(-2 + y) + y(-2 + y)) = 0 ((-2 * -4 + y * -4) + y(-2 + y)) = 0 ((8 + -4y) + y(-2 + y)) = 0 (8 + -4y + (-2 * y + y * y)) = 0 (8 + -4y + (-2y + y2)) = 0 Combine like terms: -4y + -2y = -6y (8 + -6y + y2) = 0 Solving 8 + -6y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -1y)(4 + -1y) = 0Subproblem 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 '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {2, 4}
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