4z^2-3=22

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Solution for 4z^2-3=22 equation:


Simplifying
4z2 + -3 = 22

Reorder the terms:
-3 + 4z2 = 22

Solving
-3 + 4z2 = 22

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + 4z2 = 22 + 3

Combine like terms: -3 + 3 = 0
0 + 4z2 = 22 + 3
4z2 = 22 + 3

Combine like terms: 22 + 3 = 25
4z2 = 25

Divide each side by '4'.
z2 = 6.25

Simplifying
z2 = 6.25

Take the square root of each side:
z = {-2.5, 2.5}

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