2(a^2+10)=13a

Solution for 2(a^2+10)=13a equation:

Simplifying
2(a2 + 10) = 13a

Reorder the terms:
2(10 + a2) = 13a
(10 * 2 + a2 * 2) = 13a
(20 + 2a2) = 13a

Solving
20 + 2a2 = 13a

Solving for variable 'a'.

Reorder the terms:
20 + -13a + 2a2 = 13a + -13a

Combine like terms: 13a + -13a = 0
20 + -13a + 2a2 = 0

Factor a trinomial.
(5 + -2a)(4 + -1a) = 0

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

Simplifying
5 + -2a = 0

Solving
5 + -2a = 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 + -2a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2a = 0 + -5
-2a = 0 + -5

Combine like terms: 0 + -5 = -5
-2a = -5

Divide each side by '-2'.
a = 2.5

Simplifying
a = 2.5
Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {2.5, 4}