7z^2-30+27=0

Solution for 7z^2-30+27=0 equation:

Simplifying
7z2 + -30 + 27 = 0

Reorder the terms:
-30 + 27 + 7z2 = 0

Combine like terms: -30 + 27 = -3
-3 + 7z2 = 0

Solving
-3 + 7z2 = 0

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 + 7z2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7z2 = 0 + 3
7z2 = 0 + 3

Combine like terms: 0 + 3 = 3
7z2 = 3

Divide each side by '7'.
z2 = 0.4285714286

Simplifying
z2 = 0.4285714286

Take the square root of each side:
z = {-0.654653671, 0.654653671}