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Simplifying 3y = 4y2 + -1 Reorder the terms: 3y = -1 + 4y2 Solving 3y = -1 + 4y2 Solving for variable 'y'. Reorder the terms: 1 + 3y + -4y2 = -1 + 4y2 + 1 + -4y2 Reorder the terms: 1 + 3y + -4y2 = -1 + 1 + 4y2 + -4y2 Combine like terms: -1 + 1 = 0 1 + 3y + -4y2 = 0 + 4y2 + -4y2 1 + 3y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 1 + 3y + -4y2 = 0 Factor a trinomial. (1 + -1y)(1 + 4y) = 0Subproblem 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 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 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 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25Solution
y = {1, -0.25}
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