81y^2+36y+4=0

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Solution for 81y^2+36y+4=0 equation:


Simplifying
81y2 + 36y + 4 = 0

Reorder the terms:
4 + 36y + 81y2 = 0

Solving
4 + 36y + 81y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + 9y)(2 + 9y) = 0

Subproblem 1

Set the factor '(2 + 9y)' equal to zero and attempt to solve: Simplifying 2 + 9y = 0 Solving 2 + 9y = 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 + 9y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9y = 0 + -2 9y = 0 + -2 Combine like terms: 0 + -2 = -2 9y = -2 Divide each side by '9'. y = -0.2222222222 Simplifying y = -0.2222222222

Subproblem 2

Set the factor '(2 + 9y)' equal to zero and attempt to solve: Simplifying 2 + 9y = 0 Solving 2 + 9y = 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 + 9y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9y = 0 + -2 9y = 0 + -2 Combine like terms: 0 + -2 = -2 9y = -2 Divide each side by '9'. y = -0.2222222222 Simplifying y = -0.2222222222

Solution

y = {-0.2222222222, -0.2222222222}

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