(z+1)2+49=0

Solution for (z+1)2+49=0 equation:

Simplifying
(z + 1) * 2 + 49 = 0

Reorder the terms:
(1 + z) * 2 + 49 = 0

Reorder the terms for easier multiplication:
2(1 + z) + 49 = 0
(1 * 2 + z * 2) + 49 = 0
(2 + 2z) + 49 = 0

Reorder the terms:
2 + 49 + 2z = 0

Combine like terms: 2 + 49 = 51
51 + 2z = 0

Solving
51 + 2z = 0

Solving for variable 'z'.

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

Add '-51' to each side of the equation.
51 + -51 + 2z = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 2z = 0 + -51
2z = 0 + -51

Combine like terms: 0 + -51 = -51
2z = -51

Divide each side by '2'.
z = -25.5

Simplifying
z = -25.5