(2a)+3+(5a)a=10

Solution for (2a)+3+(5a)a=10 equation:

Simplifying
(2a) + 3 + (5a) * a = 10

Remove parenthesis around (5a)
(2a) + 3 + 5a * a = 10

Multiply a * a
(2a) + 3 + 5a2 = 10

Reorder the terms:
3 + (2a) + 5a2 = 10

Solving
3 + (2a) + 5a2 = 10

Solving for variable 'a'.

Reorder the terms:
3 + -10 + (2a) + 5a2 = 10 + -10

Combine like terms: 3 + -10 = -7
-7 + (2a) + 5a2 = 10 + -10

Combine like terms: 10 + -10 = 0
-7 + (2a) + 5a2 = 0

Factor a trinomial.
(-7 + -5a)(1 + -1a) = 0

Subproblem 1
Set the factor '(-7 + -5a)' equal to zero and attempt to solve:

Simplifying
-7 + -5a = 0

Solving
-7 + -5a = 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 + -5a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5a = 0 + 7
-5a = 0 + 7

Combine like terms: 0 + 7 = 7
-5a = 7

Divide each side by '-5'.
a = -1.4

Simplifying
a = -1.4
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

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

Simplifying
a = 1
Solution
a = {-1.4, 1}