4Q+4Q^2=0

Solution for 4Q+4Q^2=0 equation:

Simplifying
4Q + 4Q2 = 0

Solving
4Q + 4Q2 = 0

Solving for variable 'Q'.

Factor out the Greatest Common Factor (GCF), '4Q'.
4Q(1 + Q) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'Q' equal to zero and attempt to solve:

Simplifying
Q = 0

Solving
Q = 0

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

Simplifying
Q = 0
Subproblem 2
Set the factor '(1 + Q)' equal to zero and attempt to solve:

Simplifying
1 + Q = 0

Solving
1 + Q = 0

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

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

Combine like terms: 1 + -1 = 0
0 + Q = 0 + -1
Q = 0 + -1

Combine like terms: 0 + -1 = -1
Q = -1

Simplifying
Q = -1
Solution
Q = {0, -1}