9y^2-66y+121=0

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Solution for 9y^2-66y+121=0 equation:


Simplifying
9y2 + -66y + 121 = 0

Reorder the terms:
121 + -66y + 9y2 = 0

Solving
121 + -66y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + -3y)(11 + -3y) = 0

Subproblem 1

Set the factor '(11 + -3y)' equal to zero and attempt to solve: Simplifying 11 + -3y = 0 Solving 11 + -3y = 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 + -3y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3y = 0 + -11 -3y = 0 + -11 Combine like terms: 0 + -11 = -11 -3y = -11 Divide each side by '-3'. y = 3.666666667 Simplifying y = 3.666666667

Subproblem 2

Set the factor '(11 + -3y)' equal to zero and attempt to solve: Simplifying 11 + -3y = 0 Solving 11 + -3y = 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 + -3y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3y = 0 + -11 -3y = 0 + -11 Combine like terms: 0 + -11 = -11 -3y = -11 Divide each side by '-3'. y = 3.666666667 Simplifying y = 3.666666667

Solution

y = {3.666666667, 3.666666667}

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