2(a^2+20)=21a

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Solution for 2(a^2+20)=21a equation: 


Simplifying
2(a2 + 20) = 21a

Reorder the terms:
2(20 + a2) = 21a
(20 * 2 + a2 * 2) = 21a
(40 + 2a2) = 21a

Solving
40 + 2a2 = 21a

Solving for variable 'a'.

Reorder the terms:
40 + -21a + 2a2 = 21a + -21a

Combine like terms: 21a + -21a = 0
40 + -21a + 2a2 = 0

Factor a trinomial.
(5 + -2a)(8 + -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 '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {2.5, 8}

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