2z^2-21-36=0

Solution for 2z^2-21-36=0 equation:

Simplifying
2z2 + -21 + -36 = 0

Reorder the terms:
-21 + -36 + 2z2 = 0

Combine like terms: -21 + -36 = -57
-57 + 2z2 = 0

Solving
-57 + 2z2 = 0

Solving for variable 'z'.

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

Add '57' to each side of the equation.
-57 + 57 + 2z2 = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 2z2 = 0 + 57
2z2 = 0 + 57

Combine like terms: 0 + 57 = 57
2z2 = 57

Divide each side by '2'.
z2 = 28.5

Simplifying
z2 = 28.5

Take the square root of each side:
z = {-5.338539126, 5.338539126}