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Simplifying (4 + y)(4y + -2) = 0 Reorder the terms: (4 + y)(-2 + 4y) = 0 Multiply (4 + y) * (-2 + 4y) (4(-2 + 4y) + y(-2 + 4y)) = 0 ((-2 * 4 + 4y * 4) + y(-2 + 4y)) = 0 ((-8 + 16y) + y(-2 + 4y)) = 0 (-8 + 16y + (-2 * y + 4y * y)) = 0 (-8 + 16y + (-2y + 4y2)) = 0 Combine like terms: 16y + -2y = 14y (-8 + 14y + 4y2) = 0 Solving -8 + 14y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 7y + 2y2) = 0 Factor a trinomial. 2((-4 + -1y)(1 + -2y)) = 0 Ignore the factor 2.Subproblem 1
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 = -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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