(6x+11)(x-3)=

Solution for (6x+11)(x-3)= equation:

Simplifying
(6x + 11)(x + -3) = 0

Reorder the terms:
(11 + 6x)(x + -3) = 0

Reorder the terms:
(11 + 6x)(-3 + x) = 0

Multiply (11 + 6x) * (-3 + x)
(11(-3 + x) + 6x * (-3 + x)) = 0
((-3 * 11 + x * 11) + 6x * (-3 + x)) = 0
((-33 + 11x) + 6x * (-3 + x)) = 0
(-33 + 11x + (-3 * 6x + x * 6x)) = 0
(-33 + 11x + (-18x + 6x2)) = 0

Combine like terms: 11x + -18x = -7x
(-33 + -7x + 6x2) = 0

Solving
-33 + -7x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -6x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -6x)' equal to zero and attempt to solve:

Simplifying
-11 + -6x = 0

Solving
-11 + -6x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -6x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -6x = 0 + 11
-6x = 0 + 11

Combine like terms: 0 + 11 = 11
-6x = 11

Divide each side by '-6'.
x = -1.833333333

Simplifying
x = -1.833333333
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.833333333, 3}