=a^2-14a

Solution for =a^2-14a equation:

Simplifying
0 = a2 + -14a

Reorder the terms:
0 = -14a + a2

Solving
0 = -14a + a2

Solving for variable 'a'.
Remove the zero:
14a + -1a2 = -14a + a2 + 14a + -1a2

Reorder the terms:
14a + -1a2 = -14a + 14a + a2 + -1a2

Combine like terms: -14a + 14a = 0
14a + -1a2 = 0 + a2 + -1a2
14a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
14a + -1a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(14 + -1a) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(14 + -1a)' equal to zero and attempt to solve:

Simplifying
14 + -1a = 0

Solving
14 + -1a = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1a = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1a = 0 + -14
-1a = 0 + -14

Combine like terms: 0 + -14 = -14
-1a = -14

Divide each side by '-1'.
a = 14

Simplifying
a = 14
Solution
a = {0, 14}