(2q^2)+(5q)=250

Solution for (2q^2)+(5q)=250 equation:

Simplifying
(2q2) + (5q) = 250

Reorder the terms:
(5q) + (2q2) = 250

Solving
(5q) + (2q2) = 250

Solving for variable 'q'.

Reorder the terms:
-250 + (5q) + (2q2) = 250 + -250

Combine like terms: 250 + -250 = 0
-250 + (5q) + (2q2) = 0

Factor a trinomial.
(-25 + -2q)(10 + -1q) = 0

Subproblem 1
Set the factor '(-25 + -2q)' equal to zero and attempt to solve:

Simplifying
-25 + -2q = 0

Solving
-25 + -2q = 0

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

Add '25' to each side of the equation.
-25 + 25 + -2q = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -2q = 0 + 25
-2q = 0 + 25

Combine like terms: 0 + 25 = 25
-2q = 25

Divide each side by '-2'.
q = -12.5

Simplifying
q = -12.5
Subproblem 2
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
Solution
q = {-12.5, 10}