2a+40=2a^2

Solution for 2a+40=2a^2 equation:

Simplifying
2a + 40 = 2a2

Reorder the terms:
40 + 2a = 2a2

Solving
40 + 2a = 2a2

Solving for variable 'a'.

Combine like terms: 2a2 + -2a2 = 0
40 + 2a + -2a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + a + -1a2) = 0

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve:

Simplifying
4 + a = 0

Solving
4 + a = 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 + a = 0 + -4

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

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

Simplifying
a = -4
Solution
a = {5, -4}