q^2+9q=10

Solution for q^2+9q=10 equation:

Simplifying
q2 + 9q = 10

Reorder the terms:
9q + q2 = 10

Solving
9q + q2 = 10

Solving for variable 'q'.

Reorder the terms:
-10 + 9q + q2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 9q + q2 = 0

Factor a trinomial.
(-10 + -1q)(1 + -1q) = 0

Subproblem 1
Set the factor '(-10 + -1q)' equal to zero and attempt to solve:

Simplifying
-10 + -1q = 0

Solving
-10 + -1q = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1q = 0 + 10

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

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

Divide each side by '-1'.
q = -10

Simplifying
q = -10
Subproblem 2
Set the factor '(1 + -1q)' equal to zero and attempt to solve:

Simplifying
1 + -1q = 0

Solving
1 + -1q = 0

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

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

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

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

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

Simplifying
q = 1
Solution
q = {-10, 1}