q(5q+8)=4

Solution for q(5q+8)=4 equation:

Simplifying
q(5q + 8) = 4

Reorder the terms:
q(8 + 5q) = 4
(8 * q + 5q * q) = 4
(8q + 5q2) = 4

Solving
8q + 5q2 = 4

Solving for variable 'q'.

Reorder the terms:
-4 + 8q + 5q2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 8q + 5q2 = 0

Factor a trinomial.
(-2 + -1q)(2 + -5q) = 0

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

Simplifying
-2 + -1q = 0

Solving
-2 + -1q = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1q = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1q = 0 + 2
-1q = 0 + 2

Combine like terms: 0 + 2 = 2
-1q = 2

Divide each side by '-1'.
q = -2

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

Simplifying
2 + -5q = 0

Solving
2 + -5q = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5q = 0 + -2
-5q = 0 + -2

Combine like terms: 0 + -2 = -2
-5q = -2

Divide each side by '-5'.
q = 0.4

Simplifying
q = 0.4
Solution
q = {-2, 0.4}