A*A+9A=682

Solution for A*A+9A=682 equation:

Simplifying
A * A + 9A = 682

Multiply A * A
A2 + 9A = 682

Reorder the terms:
9A + A2 = 682

Solving
9A + A2 = 682

Solving for variable 'A'.

Reorder the terms:
-682 + 9A + A2 = 682 + -682

Combine like terms: 682 + -682 = 0
-682 + 9A + A2 = 0

Factor a trinomial.
(-31 + -1A)(22 + -1A) = 0

Subproblem 1
Set the factor '(-31 + -1A)' equal to zero and attempt to solve:

Simplifying
-31 + -1A = 0

Solving
-31 + -1A = 0

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

Add '31' to each side of the equation.
-31 + 31 + -1A = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -1A = 0 + 31
-1A = 0 + 31

Combine like terms: 0 + 31 = 31
-1A = 31

Divide each side by '-1'.
A = -31

Simplifying
A = -31
Subproblem 2
Set the factor '(22 + -1A)' equal to zero and attempt to solve:

Simplifying
22 + -1A = 0

Solving
22 + -1A = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1A = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1A = 0 + -22
-1A = 0 + -22

Combine like terms: 0 + -22 = -22
-1A = -22

Divide each side by '-1'.
A = 22

Simplifying
A = 22
Solution
A = {-31, 22}