6z^2+38=8z^2

Solution for 6z^2+38=8z^2 equation:

Simplifying
6z2 + 38 = 8z2

Reorder the terms:
38 + 6z2 = 8z2

Solving
38 + 6z2 = 8z2

Solving for variable 'z'.

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

Add '-8z2' to each side of the equation.
38 + 6z2 + -8z2 = 8z2 + -8z2

Combine like terms: 6z2 + -8z2 = -2z2
38 + -2z2 = 8z2 + -8z2

Combine like terms: 8z2 + -8z2 = 0
38 + -2z2 = 0

Add '-38' to each side of the equation.
38 + -38 + -2z2 = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -2z2 = 0 + -38
-2z2 = 0 + -38

Combine like terms: 0 + -38 = -38
-2z2 = -38

Divide each side by '-2'.
z2 = 19

Simplifying
z2 = 19

Take the square root of each side:
z = {-4.358898944, 4.358898944}