64y^2+144y+81=0

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Solution for 64y^2+144y+81=0 equation:


Simplifying
64y2 + 144y + 81 = 0

Reorder the terms:
81 + 144y + 64y2 = 0

Solving
81 + 144y + 64y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + 8y)(9 + 8y) = 0

Subproblem 1

Set the factor '(9 + 8y)' equal to zero and attempt to solve: Simplifying 9 + 8y = 0 Solving 9 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8y = 0 + -9 8y = 0 + -9 Combine like terms: 0 + -9 = -9 8y = -9 Divide each side by '8'. y = -1.125 Simplifying y = -1.125

Subproblem 2

Set the factor '(9 + 8y)' equal to zero and attempt to solve: Simplifying 9 + 8y = 0 Solving 9 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8y = 0 + -9 8y = 0 + -9 Combine like terms: 0 + -9 = -9 8y = -9 Divide each side by '8'. y = -1.125 Simplifying y = -1.125

Solution

y = {-1.125, -1.125}

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