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Simplifying (4 + -1y)(4 + -1y) = 0 Multiply (4 + -1y) * (4 + -1y) (4(4 + -1y) + -1y * (4 + -1y)) = 0 ((4 * 4 + -1y * 4) + -1y * (4 + -1y)) = 0 ((16 + -4y) + -1y * (4 + -1y)) = 0 (16 + -4y + (4 * -1y + -1y * -1y)) = 0 (16 + -4y + (-4y + 1y2)) = 0 Combine like terms: -4y + -4y = -8y (16 + -8y + 1y2) = 0 Solving 16 + -8y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -1y)(4 + -1y) = 0Subproblem 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 '(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 = 4Solution
y = {4, 4}
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