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