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Simplifying 8y2 + -33y + 25 = 0 Reorder the terms: 25 + -33y + 8y2 = 0 Solving 25 + -33y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(25 + -8y) = 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 '(25 + -8y)' equal to zero and attempt to solve: Simplifying 25 + -8y = 0 Solving 25 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -8y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8y = 0 + -25 -8y = 0 + -25 Combine like terms: 0 + -25 = -25 -8y = -25 Divide each side by '-8'. y = 3.125 Simplifying y = 3.125Solution
y = {1, 3.125}
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