(6X+2)(X-4)=2-11X

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Solution for (6X+2)(X-4)=2-11X equation: 


Simplifying
(6X + 2)(X + -4) = 2 + -11X

Reorder the terms:
(2 + 6X)(X + -4) = 2 + -11X

Reorder the terms:
(2 + 6X)(-4 + X) = 2 + -11X

Multiply (2 + 6X) * (-4 + X)
(2(-4 + X) + 6X * (-4 + X)) = 2 + -11X
((-4 * 2 + X * 2) + 6X * (-4 + X)) = 2 + -11X
((-8 + 2X) + 6X * (-4 + X)) = 2 + -11X
(-8 + 2X + (-4 * 6X + X * 6X)) = 2 + -11X
(-8 + 2X + (-24X + 6X2)) = 2 + -11X

Combine like terms: 2X + -24X = -22X
(-8 + -22X + 6X2) = 2 + -11X

Solving
-8 + -22X + 6X2 = 2 + -11X

Solving for variable 'X'.

Reorder the terms:
-8 + -2 + -22X + 11X + 6X2 = 2 + -11X + -2 + 11X

Combine like terms: -8 + -2 = -10
-10 + -22X + 11X + 6X2 = 2 + -11X + -2 + 11X

Combine like terms: -22X + 11X = -11X
-10 + -11X + 6X2 = 2 + -11X + -2 + 11X

Reorder the terms:
-10 + -11X + 6X2 = 2 + -2 + -11X + 11X

Combine like terms: 2 + -2 = 0
-10 + -11X + 6X2 = 0 + -11X + 11X
-10 + -11X + 6X2 = -11X + 11X

Combine like terms: -11X + 11X = 0
-10 + -11X + 6X2 = 0

Factor a trinomial.
(-2 + -3X)(5 + -2X) = 0


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

Simplifying
-2 + -3X = 0

Solving
-2 + -3X = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3X = 0 + 2

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

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

Divide each side by '-3'.
X = -0.6666666667

Simplifying
X = -0.6666666667

Subproblem 2
Set the factor '(5 + -2X)' equal to zero and attempt to solve:

Simplifying
5 + -2X = 0

Solving
5 + -2X = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2X = 0 + -5
-2X = 0 + -5

Combine like terms: 0 + -5 = -5
-2X = -5

Divide each side by '-2'.
X = 2.5

Simplifying
X = 2.5
Solution
X = {-0.6666666667, 2.5}

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