a(a-5)+10=2a

Solution for a(a-5)+10=2a equation:

Simplifying
a(a + -5) + 10 = 2a

Reorder the terms:
a(-5 + a) + 10 = 2a
(-5 * a + a * a) + 10 = 2a
(-5a + a2) + 10 = 2a

Reorder the terms:
10 + -5a + a2 = 2a

Solving
10 + -5a + a2 = 2a

Solving for variable 'a'.

Reorder the terms:
10 + -5a + -2a + a2 = 2a + -2a

Combine like terms: -5a + -2a = -7a
10 + -7a + a2 = 2a + -2a

Combine like terms: 2a + -2a = 0
10 + -7a + a2 = 0

Factor a trinomial.
(2 + -1a)(5 + -1a) = 0

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 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 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve:

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1a = 0 + -5

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

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

Divide each side by '-1'.
a = 5

Simplifying
a = 5
Solution
a = {2, 5}