32z^2+56z^2-162=0

Solution for 32z^2+56z^2-162=0 equation:

Simplifying
32z2 + 56z2 + -162 = 0

Reorder the terms:
-162 + 32z2 + 56z2 = 0

Combine like terms: 32z2 + 56z2 = 88z2
-162 + 88z2 = 0

Solving
-162 + 88z2 = 0

Solving for variable 'z'.

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

Add '162' to each side of the equation.
-162 + 162 + 88z2 = 0 + 162

Combine like terms: -162 + 162 = 0
0 + 88z2 = 0 + 162
88z2 = 0 + 162

Combine like terms: 0 + 162 = 162
88z2 = 162

Divide each side by '88'.
z2 = 1.840909091

Simplifying
z2 = 1.840909091

Take the square root of each side:
z = {-1.356801051, 1.356801051}