14z^2-49+35=0

Solution for 14z^2-49+35=0 equation:

Simplifying
14z2 + -49 + 35 = 0

Reorder the terms:
-49 + 35 + 14z2 = 0

Combine like terms: -49 + 35 = -14
-14 + 14z2 = 0

Solving
-14 + 14z2 = 0

Solving for variable 'z'.

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

Add '14' to each side of the equation.
-14 + 14 + 14z2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 14z2 = 0 + 14
14z2 = 0 + 14

Combine like terms: 0 + 14 = 14
14z2 = 14

Divide each side by '14'.
z2 = 1

Simplifying
z2 = 1

Take the square root of each side:
z = {-1, 1}