150-66=4q+3q^2

Solution for 150-66=4q+3q^2 equation:

Simplifying
150 + -66 = 4q + 3q2

Combine like terms: 150 + -66 = 84
84 = 4q + 3q2

Solving
84 = 4q + 3q2

Solving for variable 'q'.

Reorder the terms:
84 + -4q + -3q2 = 4q + -4q + 3q2 + -3q2

Combine like terms: 4q + -4q = 0
84 + -4q + -3q2 = 0 + 3q2 + -3q2
84 + -4q + -3q2 = 3q2 + -3q2

Combine like terms: 3q2 + -3q2 = 0
84 + -4q + -3q2 = 0

Factor a trinomial.
(14 + -3q)(6 + q) = 0

Subproblem 1
Set the factor '(14 + -3q)' equal to zero and attempt to solve:

Simplifying
14 + -3q = 0

Solving
14 + -3q = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3q = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3q = 0 + -14
-3q = 0 + -14

Combine like terms: 0 + -14 = -14
-3q = -14

Divide each side by '-3'.
q = 4.666666667

Simplifying
q = 4.666666667
Subproblem 2
Set the factor '(6 + q)' equal to zero and attempt to solve:

Simplifying
6 + q = 0

Solving
6 + q = 0

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

Add '-6' to each side of the equation.
6 + -6 + q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + q = 0 + -6
q = 0 + -6

Combine like terms: 0 + -6 = -6
q = -6

Simplifying
q = -6
Solution
q = {4.666666667, -6}