z(z+2)=63

Solution for z(z+2)=63 equation:

Simplifying
z(z + 2) = 63

Reorder the terms:
z(2 + z) = 63
(2 * z + z * z) = 63
(2z + z2) = 63

Solving
2z + z2 = 63

Solving for variable 'z'.

Reorder the terms:
-63 + 2z + z2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + 2z + z2 = 0

Factor a trinomial.
(-9 + -1z)(7 + -1z) = 0

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

Simplifying
-9 + -1z = 0

Solving
-9 + -1z = 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 + -1z = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1z = 0 + 9
-1z = 0 + 9

Combine like terms: 0 + 9 = 9
-1z = 9

Divide each side by '-1'.
z = -9

Simplifying
z = -9
Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve:

Simplifying
7 + -1z = 0

Solving
7 + -1z = 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 + -1z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1z = 0 + -7
-1z = 0 + -7

Combine like terms: 0 + -7 = -7
-1z = -7

Divide each side by '-1'.
z = 7

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