11x^2+75x+54=

Solution for 11x^2+75x+54= equation:

Simplifying
11x2 + 75x + 54 = 0

Reorder the terms:
54 + 75x + 11x2 = 0

Solving
54 + 75x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x)(9 + 11x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

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

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

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

Simplifying
x = -6
Subproblem 2
Set the factor '(9 + 11x)' equal to zero and attempt to solve:

Simplifying
9 + 11x = 0

Solving
9 + 11x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 11x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 11x = 0 + -9
11x = 0 + -9

Combine like terms: 0 + -9 = -9
11x = -9

Divide each side by '11'.
x = -0.8181818182

Simplifying
x = -0.8181818182
Solution
x = {-6, -0.8181818182}