14z-13=z^2

Solution for 14z-13=z^2 equation:

Simplifying
14z + -13 = z2

Reorder the terms:
-13 + 14z = z2

Solving
-13 + 14z = z2

Solving for variable 'z'.

Combine like terms: z2 + -1z2 = 0
-13 + 14z + -1z2 = 0

Factor a trinomial.
(-13 + z)(1 + -1z) = 0

Subproblem 1
Set the factor '(-13 + z)' equal to zero and attempt to solve:

Simplifying
-13 + z = 0

Solving
-13 + z = 0

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

Add '13' to each side of the equation.
-13 + 13 + z = 0 + 13

Combine like terms: -13 + 13 = 0
0 + z = 0 + 13
z = 0 + 13

Combine like terms: 0 + 13 = 13
z = 13

Simplifying
z = 13
Subproblem 2
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

Solving
1 + -1z = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1z = 0 + -1

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

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

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

Simplifying
z = 1
Solution
z = {13, 1}