(4x+6)(11x-6)=

Solution for (4x+6)(11x-6)= equation:

Simplifying
(4x + 6)(11x + -6) = 0

Reorder the terms:
(6 + 4x)(11x + -6) = 0

Reorder the terms:
(6 + 4x)(-6 + 11x) = 0

Multiply (6 + 4x) * (-6 + 11x)
(6(-6 + 11x) + 4x * (-6 + 11x)) = 0
((-6 * 6 + 11x * 6) + 4x * (-6 + 11x)) = 0
((-36 + 66x) + 4x * (-6 + 11x)) = 0
(-36 + 66x + (-6 * 4x + 11x * 4x)) = 0
(-36 + 66x + (-24x + 44x2)) = 0

Combine like terms: 66x + -24x = 42x
(-36 + 42x + 44x2) = 0

Solving
-36 + 42x + 44x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 21x + 22x2) = 0

Factor a trinomial.
2((-3 + -2x)(6 + -11x)) = 0

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

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 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 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5
Subproblem 2
Set the factor '(6 + -11x)' equal to zero and attempt to solve:

Simplifying
6 + -11x = 0

Solving
6 + -11x = 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 + -11x = 0 + -6

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

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

Divide each side by '-11'.
x = 0.5454545455

Simplifying
x = 0.5454545455
Solution
x = {-1.5, 0.5454545455}