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