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Simplifying 25y2 + 110y + 121 = 0 Reorder the terms: 121 + 110y + 25y2 = 0 Solving 121 + 110y + 25y2 = 0 Solving for variable 'y'. Factor a trinomial. (11 + 5y)(11 + 5y) = 0Subproblem 1
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 = -2.2Subproblem 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, -2.2}
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