3a^2-9=11

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Solution for 3a^2-9=11 equation:


Simplifying
3a2 + -9 = 11

Reorder the terms:
-9 + 3a2 = 11

Solving
-9 + 3a2 = 11

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 3a2 = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 3a2 = 11 + 9
3a2 = 11 + 9

Combine like terms: 11 + 9 = 20
3a2 = 20

Divide each side by '3'.
a2 = 6.666666667

Simplifying
a2 = 6.666666667

Take the square root of each side:
a = {-2.581988898, 2.581988898}

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