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Simplifying (4y + -2)(4 + -1y) = 0 Reorder the terms: (-2 + 4y)(4 + -1y) = 0 Multiply (-2 + 4y) * (4 + -1y) (-2(4 + -1y) + 4y * (4 + -1y)) = 0 ((4 * -2 + -1y * -2) + 4y * (4 + -1y)) = 0 ((-8 + 2y) + 4y * (4 + -1y)) = 0 (-8 + 2y + (4 * 4y + -1y * 4y)) = 0 (-8 + 2y + (16y + -4y2)) = 0 Combine like terms: 2y + 16y = 18y (-8 + 18y + -4y2) = 0 Solving -8 + 18y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 9y + -2y2) = 0 Factor a trinomial. 2((-4 + y)(1 + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Subproblem 2
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 = 0.5Solution
y = {4, 0.5}
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