4q^2+43q-11=0

Solution for 4q^2+43q-11=0 equation:

Simplifying
4q2 + 43q + -11 = 0

Reorder the terms:
-11 + 43q + 4q2 = 0

Solving
-11 + 43q + 4q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-11 + -1q)(1 + -4q) = 0

Subproblem 1
Set the factor '(-11 + -1q)' equal to zero and attempt to solve:

Simplifying
-11 + -1q = 0

Solving
-11 + -1q = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1q = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1q = 0 + 11
-1q = 0 + 11

Combine like terms: 0 + 11 = 11
-1q = 11

Divide each side by '-1'.
q = -11

Simplifying
q = -11
Subproblem 2
Set the factor '(1 + -4q)' equal to zero and attempt to solve:

Simplifying
1 + -4q = 0

Solving
1 + -4q = 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 + -4q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4q = 0 + -1
-4q = 0 + -1

Combine like terms: 0 + -1 = -1
-4q = -1

Divide each side by '-4'.
q = 0.25

Simplifying
q = 0.25
Solution
q = {-11, 0.25}