10A^2+A=0

Solution for 10A^2+A=0 equation:

Simplifying
10A2 + A = 0

Reorder the terms:
A + 10A2 = 0

Solving
A + 10A2 = 0

Solving for variable 'A'.

Factor out the Greatest Common Factor (GCF), 'A'.
A(1 + 10A) = 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 + 10A)' equal to zero and attempt to solve:

Simplifying
1 + 10A = 0

Solving
1 + 10A = 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 + 10A = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10A = 0 + -1
10A = 0 + -1

Combine like terms: 0 + -1 = -1
10A = -1

Divide each side by '10'.
A = -0.1

Simplifying
A = -0.1
Solution
A = {0, -0.1}