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Simplifying 8y = 4y2 + 3 Reorder the terms: 8y = 3 + 4y2 Solving 8y = 3 + 4y2 Solving for variable 'y'. Reorder the terms: -3 + 8y + -4y2 = 3 + 4y2 + -3 + -4y2 Reorder the terms: -3 + 8y + -4y2 = 3 + -3 + 4y2 + -4y2 Combine like terms: 3 + -3 = 0 -3 + 8y + -4y2 = 0 + 4y2 + -4y2 -3 + 8y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -3 + 8y + -4y2 = 0 Factor a trinomial. (-3 + 2y)(1 + -2y) = 0Subproblem 1
Set the factor '(-3 + 2y)' equal to zero and attempt to solve: Simplifying -3 + 2y = 0 Solving -3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 0 + 3 2y = 0 + 3 Combine like terms: 0 + 3 = 3 2y = 3 Divide each side by '2'. y = 1.5 Simplifying y = 1.5Subproblem 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 = {1.5, 0.5}
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