25=3q^2-20q+50

Solution for 25=3q^2-20q+50 equation:

Simplifying
25 = 3q2 + -20q + 50

Reorder the terms:
25 = 50 + -20q + 3q2

Solving
25 = 50 + -20q + 3q2

Solving for variable 'q'.

Combine like terms: 25 + -50 = -25
-25 + 20q + -3q2 = 50 + -20q + 3q2 + -50 + 20q + -3q2

Reorder the terms:
-25 + 20q + -3q2 = 50 + -50 + -20q + 20q + 3q2 + -3q2

Combine like terms: 50 + -50 = 0
-25 + 20q + -3q2 = 0 + -20q + 20q + 3q2 + -3q2
-25 + 20q + -3q2 = -20q + 20q + 3q2 + -3q2

Combine like terms: -20q + 20q = 0
-25 + 20q + -3q2 = 0 + 3q2 + -3q2
-25 + 20q + -3q2 = 3q2 + -3q2

Combine like terms: 3q2 + -3q2 = 0
-25 + 20q + -3q2 = 0

Factor a trinomial.
(-5 + q)(5 + -3q) = 0

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

Simplifying
-5 + q = 0

Solving
-5 + q = 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 + q = 0 + 5

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

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

Simplifying
q = 5
Subproblem 2
Set the factor '(5 + -3q)' equal to zero and attempt to solve:

Simplifying
5 + -3q = 0

Solving
5 + -3q = 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 + -3q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3q = 0 + -5
-3q = 0 + -5

Combine like terms: 0 + -5 = -5
-3q = -5

Divide each side by '-3'.
q = 1.666666667

Simplifying
q = 1.666666667
Solution
q = {5, 1.666666667}