16z^2-256-29=-28

Solution for 16z^2-256-29=-28 equation:

Simplifying
16z2 + -256 + -29 = -28

Reorder the terms:
-256 + -29 + 16z2 = -28

Combine like terms: -256 + -29 = -285
-285 + 16z2 = -28

Solving
-285 + 16z2 = -28

Solving for variable 'z'.

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

Add '285' to each side of the equation.
-285 + 285 + 16z2 = -28 + 285

Combine like terms: -285 + 285 = 0
0 + 16z2 = -28 + 285
16z2 = -28 + 285

Combine like terms: -28 + 285 = 257
16z2 = 257

Divide each side by '16'.
z2 = 16.0625

Simplifying
z2 = 16.0625

Take the square root of each side:
z = {-4.007804885, 4.007804885}