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Simplifying 4y2 = 4y + -1 Reorder the terms: 4y2 = -1 + 4y Solving 4y2 = -1 + 4y Solving for variable 'y'. Reorder the terms: 1 + -4y + 4y2 = -1 + 4y + 1 + -4y Reorder the terms: 1 + -4y + 4y2 = -1 + 1 + 4y + -4y Combine like terms: -1 + 1 = 0 1 + -4y + 4y2 = 0 + 4y + -4y 1 + -4y + 4y2 = 4y + -4y Combine like terms: 4y + -4y = 0 1 + -4y + 4y2 = 0 Factor a trinomial. (1 + -2y)(1 + -2y) = 0Subproblem 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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