14=a(a-5)

Solution for 14=a(a-5) equation:

Simplifying
14 = a(a + -5)

Reorder the terms:
14 = a(-5 + a)
14 = (-5 * a + a * a)
14 = (-5a + a2)

Solving
14 = -5a + a2

Solving for variable 'a'.

Reorder the terms:
14 + 5a + -1a2 = -5a + 5a + a2 + -1a2

Combine like terms: -5a + 5a = 0
14 + 5a + -1a2 = 0 + a2 + -1a2
14 + 5a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
14 + 5a + -1a2 = 0

Factor a trinomial.
(7 + -1a)(2 + a) = 0

Subproblem 1
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1a = 0 + -7

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

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

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

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

Simplifying
2 + a = 0

Solving
2 + a = 0

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

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

Combine like terms: 2 + -2 = 0
0 + a = 0 + -2
a = 0 + -2

Combine like terms: 0 + -2 = -2
a = -2

Simplifying
a = -2
Solution
a = {7, -2}