4z^2-5=31

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Solution for 4z^2-5=31 equation: 


Simplifying
4z2 + -5 = 31

Reorder the terms:
-5 + 4z2 = 31

Solving
-5 + 4z2 = 31

Solving for variable 'z'.

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

Add '5' to each side of the equation.
-5 + 5 + 4z2 = 31 + 5

Combine like terms: -5 + 5 = 0
0 + 4z2 = 31 + 5
4z2 = 31 + 5

Combine like terms: 31 + 5 = 36
4z2 = 36

Divide each side by '4'.
z2 = 9

Simplifying
z2 = 9

Take the square root of each side:
z = {-3, 3}

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