5a^2-8=252

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Solution for 5a^2-8=252 equation:


Simplifying
5a2 + -8 = 252

Reorder the terms:
-8 + 5a2 = 252

Solving
-8 + 5a2 = 252

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + 5a2 = 252 + 8

Combine like terms: -8 + 8 = 0
0 + 5a2 = 252 + 8
5a2 = 252 + 8

Combine like terms: 252 + 8 = 260
5a2 = 260

Divide each side by '5'.
a2 = 52

Simplifying
a2 = 52

Take the square root of each side:
a = {-7.211102551, 7.211102551}

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