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Simplifying 25y2 + -47y + 22 = 0 Reorder the terms: 22 + -47y + 25y2 = 0 Solving 22 + -47y + 25y2 = 0 Solving for variable 'y'. Factor a trinomial. (22 + -25y)(1 + -1y) = 0Subproblem 1
Set the factor '(22 + -25y)' equal to zero and attempt to solve: Simplifying 22 + -25y = 0 Solving 22 + -25y = 0 Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -25y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -25y = 0 + -22 -25y = 0 + -22 Combine like terms: 0 + -22 = -22 -25y = -22 Divide each side by '-25'. y = 0.88 Simplifying y = 0.88Subproblem 2
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 = 1Solution
y = {0.88, 1}
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