q(3q+4)=4

Solution for q(3q+4)=4 equation:

Simplifying
q(3q + 4) = 4

Reorder the terms:
q(4 + 3q) = 4
(4 * q + 3q * q) = 4
(4q + 3q2) = 4

Solving
4q + 3q2 = 4

Solving for variable 'q'.

Reorder the terms:
-4 + 4q + 3q2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 4q + 3q2 = 0

Factor a trinomial.
(-2 + -1q)(2 + -3q) = 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 + -3q)' equal to zero and attempt to solve:

Simplifying
2 + -3q = 0

Solving
2 + -3q = 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 + -3q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3q = 0 + -2
-3q = 0 + -2

Combine like terms: 0 + -2 = -2
-3q = -2

Divide each side by '-3'.
q = 0.6666666667

Simplifying
q = 0.6666666667
Solution
q = {-2, 0.6666666667}