81t^2-36t+4=0

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


Simplifying
81t2 + -36t + 4 = 0

Reorder the terms:
4 + -36t + 81t2 = 0

Solving
4 + -36t + 81t2 = 0

Solving for variable 't'.

Factor a trinomial.
(2 + -9t)(2 + -9t) = 0

Subproblem 1

Set the factor '(2 + -9t)' equal to zero and attempt to solve: Simplifying 2 + -9t = 0 Solving 2 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9t = 0 + -2 -9t = 0 + -2 Combine like terms: 0 + -2 = -2 -9t = -2 Divide each side by '-9'. t = 0.2222222222 Simplifying t = 0.2222222222

Subproblem 2

Set the factor '(2 + -9t)' equal to zero and attempt to solve: Simplifying 2 + -9t = 0 Solving 2 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9t = 0 + -2 -9t = 0 + -2 Combine like terms: 0 + -2 = -2 -9t = -2 Divide each side by '-9'. t = 0.2222222222 Simplifying t = 0.2222222222

Solution

t = {0.2222222222, 0.2222222222}

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