4a^2-6=43

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Solution for 4a^2-6=43 equation: 


Simplifying
4a2 + -6 = 43

Reorder the terms:
-6 + 4a2 = 43

Solving
-6 + 4a2 = 43

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 4a2 = 43 + 6

Combine like terms: -6 + 6 = 0
0 + 4a2 = 43 + 6
4a2 = 43 + 6

Combine like terms: 43 + 6 = 49
4a2 = 49

Divide each side by '4'.
a2 = 12.25

Simplifying
a2 = 12.25

Take the square root of each side:
a = {-3.5, 3.5}

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