3a^2-22=16

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Solution for 3a^2-22=16 equation:


Simplifying
3a2 + -22 = 16

Reorder the terms:
-22 + 3a2 = 16

Solving
-22 + 3a2 = 16

Solving for variable 'a'.

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

Add '22' to each side of the equation.
-22 + 22 + 3a2 = 16 + 22

Combine like terms: -22 + 22 = 0
0 + 3a2 = 16 + 22
3a2 = 16 + 22

Combine like terms: 16 + 22 = 38
3a2 = 38

Divide each side by '3'.
a2 = 12.66666667

Simplifying
a2 = 12.66666667

Take the square root of each side:
a = {-3.559026084, 3.559026084}

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