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Simplifying (4y + 2)(2y + -4) = 0 Reorder the terms: (2 + 4y)(2y + -4) = 0 Reorder the terms: (2 + 4y)(-4 + 2y) = 0 Multiply (2 + 4y) * (-4 + 2y) (2(-4 + 2y) + 4y * (-4 + 2y)) = 0 ((-4 * 2 + 2y * 2) + 4y * (-4 + 2y)) = 0 ((-8 + 4y) + 4y * (-4 + 2y)) = 0 (-8 + 4y + (-4 * 4y + 2y * 4y)) = 0 (-8 + 4y + (-16y + 8y2)) = 0 Combine like terms: 4y + -16y = -12y (-8 + -12y + 8y2) = 0 Solving -8 + -12y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + -3y + 2y2) = 0 Factor a trinomial. 4((-1 + -2y)(2 + -1y)) = 0 Ignore the factor 4.Subproblem 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 '(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 = 2Solution
y = {-0.5, 2}
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