4a^2-12=32

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Solution for 4a^2-12=32 equation:


Simplifying
4a2 + -12 = 32

Reorder the terms:
-12 + 4a2 = 32

Solving
-12 + 4a2 = 32

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 12 + 4a2 = 32 + 12

Combine like terms: -12 + 12 = 0
0 + 4a2 = 32 + 12
4a2 = 32 + 12

Combine like terms: 32 + 12 = 44
4a2 = 44

Divide each side by '4'.
a2 = 11

Simplifying
a2 = 11

Take the square root of each side:
a = {-3.31662479, 3.31662479}

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