a*2a-8=330

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Solution for a*2a-8=330 equation: 


Simplifying
a * 2a + -8 = 330

Reorder the terms for easier multiplication:
2a * a + -8 = 330

Multiply a * a
2a2 + -8 = 330

Reorder the terms:
-8 + 2a2 = 330

Solving
-8 + 2a2 = 330

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 + 2a2 = 330 + 8

Combine like terms: -8 + 8 = 0
0 + 2a2 = 330 + 8
2a2 = 330 + 8

Combine like terms: 330 + 8 = 338
2a2 = 338

Divide each side by '2'.
a2 = 169

Simplifying
a2 = 169

Take the square root of each side:
a = {-13, 13}

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