0=q^2+100q-525

Solution for 0=q^2+100q-525 equation:

Simplifying
0 = q2 + 100q + -525

Reorder the terms:
0 = -525 + 100q + q2

Solving
0 = -525 + 100q + q2

Solving for variable 'q'.

Combine like terms: 0 + 525 = 525
525 + -100q + -1q2 = -525 + 100q + q2 + 525 + -100q + -1q2

Reorder the terms:
525 + -100q + -1q2 = -525 + 525 + 100q + -100q + q2 + -1q2

Combine like terms: -525 + 525 = 0
525 + -100q + -1q2 = 0 + 100q + -100q + q2 + -1q2
525 + -100q + -1q2 = 100q + -100q + q2 + -1q2

Combine like terms: 100q + -100q = 0
525 + -100q + -1q2 = 0 + q2 + -1q2
525 + -100q + -1q2 = q2 + -1q2

Combine like terms: q2 + -1q2 = 0
525 + -100q + -1q2 = 0

Factor a trinomial.
(5 + -1q)(105 + q) = 0

Subproblem 1
Set the factor '(5 + -1q)' equal to zero and attempt to solve:

Simplifying
5 + -1q = 0

Solving
5 + -1q = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1q = 0 + -5
-1q = 0 + -5

Combine like terms: 0 + -5 = -5
-1q = -5

Divide each side by '-1'.
q = 5

Simplifying
q = 5
Subproblem 2
Set the factor '(105 + q)' equal to zero and attempt to solve:

Simplifying
105 + q = 0

Solving
105 + q = 0

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

Add '-105' to each side of the equation.
105 + -105 + q = 0 + -105

Combine like terms: 105 + -105 = 0
0 + q = 0 + -105
q = 0 + -105

Combine like terms: 0 + -105 = -105
q = -105

Simplifying
q = -105
Solution
q = {5, -105}