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Simplifying
3a2 + 12 + -36 = 0
Reorder the terms:
12 + -36 + 3a2 = 0
Combine like terms: 12 + -36 = -24
-24 + 3a2 = 0
Solving
-24 + 3a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 3a2 = 0 + 24
Combine like terms: -24 + 24 = 0
0 + 3a2 = 0 + 24
3a2 = 0 + 24
Combine like terms: 0 + 24 = 24
3a2 = 24
Divide each side by '3'.
a2 = 8
Simplifying
a2 = 8
Take the square root of each side:
a = {-2.828427125, 2.828427125}
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