(3t^2-8)=81

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Solution for (3t^2-8)=81 equation:


Simplifying
(3t2 + -8) = 81

Reorder the terms:
(-8 + 3t2) = 81

Remove parenthesis around (-8 + 3t2)
-8 + 3t2 = 81

Solving
-8 + 3t2 = 81

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + 3t2 = 81 + 8

Combine like terms: -8 + 8 = 0
0 + 3t2 = 81 + 8
3t2 = 81 + 8

Combine like terms: 81 + 8 = 89
3t2 = 89

Divide each side by '3'.
t2 = 29.66666667

Simplifying
t2 = 29.66666667

Take the square root of each side:
t = {-5.446711546, 5.446711546}

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