8a^2-10a+4a^2+9a=

Solution for 8a^2-10a+4a^2+9a= equation:

Simplifying
8a2 + -10a + 4a2 + 9a = 0

Reorder the terms:
-10a + 9a + 8a2 + 4a2 = 0

Combine like terms: -10a + 9a = -1a
-1a + 8a2 + 4a2 = 0

Combine like terms: 8a2 + 4a2 = 12a2
-1a + 12a2 = 0

Solving
-1a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + 12a) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-1 + 12a)' equal to zero and attempt to solve:

Simplifying
-1 + 12a = 0

Solving
-1 + 12a = 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 + 12a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 12a = 0 + 1
12a = 0 + 1

Combine like terms: 0 + 1 = 1
12a = 1

Divide each side by '12'.
a = 0.08333333333

Simplifying
a = 0.08333333333
Solution
a = {0, 0.08333333333}