(6x-11)(2x+1)=

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Solution for (6x-11)(2x+1)= equation: 


Simplifying
(6x + -11)(2x + 1) = 0

Reorder the terms:
(-11 + 6x)(2x + 1) = 0

Reorder the terms:
(-11 + 6x)(1 + 2x) = 0

Multiply (-11 + 6x) * (1 + 2x)
(-11(1 + 2x) + 6x * (1 + 2x)) = 0
((1 * -11 + 2x * -11) + 6x * (1 + 2x)) = 0
((-11 + -22x) + 6x * (1 + 2x)) = 0
(-11 + -22x + (1 * 6x + 2x * 6x)) = 0
(-11 + -22x + (6x + 12x2)) = 0

Combine like terms: -22x + 6x = -16x
(-11 + -16x + 12x2) = 0

Solving
-11 + -16x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(11 + -6x) = 0


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
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
Solution
x = {-0.5, 1.833333333}

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