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Simplifying -4y + -1 = 4y(y + -2) Reorder the terms: -1 + -4y = 4y(y + -2) Reorder the terms: -1 + -4y = 4y(-2 + y) -1 + -4y = (-2 * 4y + y * 4y) -1 + -4y = (-8y + 4y2) Solving -1 + -4y = -8y + 4y2 Solving for variable 'y'. Combine like terms: -4y + 8y = 4y -1 + 4y + -4y2 = -8y + 4y2 + 8y + -4y2 Reorder the terms: -1 + 4y + -4y2 = -8y + 8y + 4y2 + -4y2 Combine like terms: -8y + 8y = 0 -1 + 4y + -4y2 = 0 + 4y2 + -4y2 -1 + 4y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 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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