6a^2-8=142

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Solution for 6a^2-8=142 equation: 


Simplifying
6a2 + -8 = 142

Reorder the terms:
-8 + 6a2 = 142

Solving
-8 + 6a2 = 142

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 + 6a2 = 142 + 8

Combine like terms: -8 + 8 = 0
0 + 6a2 = 142 + 8
6a2 = 142 + 8

Combine like terms: 142 + 8 = 150
6a2 = 150

Divide each side by '6'.
a2 = 25

Simplifying
a2 = 25

Take the square root of each side:
a = {-5, 5}

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