1313=q^2+2213-60q

Solution for 1313=q^2+2213-60q equation:

Simplifying
1313 = q2 + 2213 + -60q

Reorder the terms:
1313 = 2213 + -60q + q2

Solving
1313 = 2213 + -60q + q2

Solving for variable 'q'.

Combine like terms: 1313 + -2213 = -900
-900 + 60q + -1q2 = 2213 + -60q + q2 + -2213 + 60q + -1q2

Reorder the terms:
-900 + 60q + -1q2 = 2213 + -2213 + -60q + 60q + q2 + -1q2

Combine like terms: 2213 + -2213 = 0
-900 + 60q + -1q2 = 0 + -60q + 60q + q2 + -1q2
-900 + 60q + -1q2 = -60q + 60q + q2 + -1q2

Combine like terms: -60q + 60q = 0
-900 + 60q + -1q2 = 0 + q2 + -1q2
-900 + 60q + -1q2 = q2 + -1q2

Combine like terms: q2 + -1q2 = 0
-900 + 60q + -1q2 = 0

Factor a trinomial.
(-30 + q)(30 + -1q) = 0

Subproblem 1
Set the factor '(-30 + q)' equal to zero and attempt to solve:

Simplifying
-30 + q = 0

Solving
-30 + q = 0

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

Add '30' to each side of the equation.
-30 + 30 + q = 0 + 30

Combine like terms: -30 + 30 = 0
0 + q = 0 + 30
q = 0 + 30

Combine like terms: 0 + 30 = 30
q = 30

Simplifying
q = 30
Subproblem 2
Set the factor '(30 + -1q)' equal to zero and attempt to solve:

Simplifying
30 + -1q = 0

Solving
30 + -1q = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1q = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1q = 0 + -30
-1q = 0 + -30

Combine like terms: 0 + -30 = -30
-1q = -30

Divide each side by '-1'.
q = 30

Simplifying
q = 30
Solution
q = {30, 30}