z^2+16z=-63

Solution for z^2+16z=-63 equation:

Simplifying
z2 + 16z = -63

Reorder the terms:
16z + z2 = -63

Solving
16z + z2 = -63

Solving for variable 'z'.

Reorder the terms:
63 + 16z + z2 = -63 + 63

Combine like terms: -63 + 63 = 0
63 + 16z + z2 = 0

Factor a trinomial.
(9 + z)(7 + z) = 0

Subproblem 1
Set the factor '(9 + z)' equal to zero and attempt to solve:

Simplifying
9 + z = 0

Solving
9 + z = 0

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

Add '-9' to each side of the equation.
9 + -9 + z = 0 + -9

Combine like terms: 9 + -9 = 0
0 + z = 0 + -9
z = 0 + -9

Combine like terms: 0 + -9 = -9
z = -9

Simplifying
z = -9
Subproblem 2
Set the factor '(7 + z)' equal to zero and attempt to solve:

Simplifying
7 + z = 0

Solving
7 + z = 0

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

Add '-7' to each side of the equation.
7 + -7 + z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + z = 0 + -7
z = 0 + -7

Combine like terms: 0 + -7 = -7
z = -7

Simplifying
z = -7
Solution
z = {-9, -7}