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Simplifying 5y2 + -21y + 22 = 0 Reorder the terms: 22 + -21y + 5y2 = 0 Solving 22 + -21y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -1y)(11 + -5y) = 0Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(11 + -5y)' equal to zero and attempt to solve: Simplifying 11 + -5y = 0 Solving 11 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5y = 0 + -11 -5y = 0 + -11 Combine like terms: 0 + -11 = -11 -5y = -11 Divide each side by '-5'. y = 2.2 Simplifying y = 2.2Solution
y = {2, 2.2}
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