2z^2-2=6

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Solution for 2z^2-2=6 equation: 


Simplifying
2z2 + -2 = 6

Reorder the terms:
-2 + 2z2 = 6

Solving
-2 + 2z2 = 6

Solving for variable 'z'.

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

Add '2' to each side of the equation.
-2 + 2 + 2z2 = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 2z2 = 6 + 2
2z2 = 6 + 2

Combine like terms: 6 + 2 = 8
2z2 = 8

Divide each side by '2'.
z2 = 4

Simplifying
z2 = 4

Take the square root of each side:
z = {-2, 2}

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