(2x+3)*(x^2+6X+11)=0

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Solution for (2x+3)*(x^2+6X+11)=0 equation: 


Simplifying
(2x + 3)(x2 + 6X + 11) = 0

Reorder the terms:
(3 + 2x)(x2 + 6X + 11) = 0

Reorder the terms:
(3 + 2x)(11 + 6X + x2) = 0

Multiply (3 + 2x) * (11 + 6X + x2)
(3(11 + 6X + x2) + 2x * (11 + 6X + x2)) = 0
((11 * 3 + 6X * 3 + x2 * 3) + 2x * (11 + 6X + x2)) = 0
((33 + 18X + 3x2) + 2x * (11 + 6X + x2)) = 0
(33 + 18X + 3x2 + (11 * 2x + 6X * 2x + x2 * 2x)) = 0
(33 + 18X + 3x2 + (22x + 12xX + 2x3)) = 0

Reorder the terms:
(33 + 18X + 22x + 12xX + 3x2 + 2x3) = 0
(33 + 18X + 22x + 12xX + 3x2 + 2x3) = 0

Solving
33 + 18X + 22x + 12xX + 3x2 + 2x3 = 0

Solving for variable 'X'.

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

Add '-33' to each side of the equation.
33 + 18X + 22x + 12xX + 3x2 + -33 + 2x3 = 0 + -33

Reorder the terms:
33 + -33 + 18X + 22x + 12xX + 3x2 + 2x3 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 18X + 22x + 12xX + 3x2 + 2x3 = 0 + -33
18X + 22x + 12xX + 3x2 + 2x3 = 0 + -33

Combine like terms: 0 + -33 = -33
18X + 22x + 12xX + 3x2 + 2x3 = -33

Add '-22x' to each side of the equation.
18X + 22x + 12xX + 3x2 + -22x + 2x3 = -33 + -22x

Reorder the terms:
18X + 22x + -22x + 12xX + 3x2 + 2x3 = -33 + -22x

Combine like terms: 22x + -22x = 0
18X + 0 + 12xX + 3x2 + 2x3 = -33 + -22x
18X + 12xX + 3x2 + 2x3 = -33 + -22x

Add '-3x2' to each side of the equation.
18X + 12xX + 3x2 + -3x2 + 2x3 = -33 + -22x + -3x2

Combine like terms: 3x2 + -3x2 = 0
18X + 12xX + 0 + 2x3 = -33 + -22x + -3x2
18X + 12xX + 2x3 = -33 + -22x + -3x2

Add '-2x3' to each side of the equation.
18X + 12xX + 2x3 + -2x3 = -33 + -22x + -3x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
18X + 12xX + 0 = -33 + -22x + -3x2 + -2x3
18X + 12xX = -33 + -22x + -3x2 + -2x3

Reorder the terms:
33 + 18X + 22x + 12xX + 3x2 + 2x3 = -33 + -22x + -3x2 + -2x3 + 33 + 22x + 3x2 + 2x3

Reorder the terms:
33 + 18X + 22x + 12xX + 3x2 + 2x3 = -33 + 33 + -22x + 22x + -3x2 + 3x2 + -2x3 + 2x3

Combine like terms: -33 + 33 = 0
33 + 18X + 22x + 12xX + 3x2 + 2x3 = 0 + -22x + 22x + -3x2 + 3x2 + -2x3 + 2x3
33 + 18X + 22x + 12xX + 3x2 + 2x3 = -22x + 22x + -3x2 + 3x2 + -2x3 + 2x3

Combine like terms: -22x + 22x = 0
33 + 18X + 22x + 12xX + 3x2 + 2x3 = 0 + -3x2 + 3x2 + -2x3 + 2x3
33 + 18X + 22x + 12xX + 3x2 + 2x3 = -3x2 + 3x2 + -2x3 + 2x3

Combine like terms: -3x2 + 3x2 = 0
33 + 18X + 22x + 12xX + 3x2 + 2x3 = 0 + -2x3 + 2x3
33 + 18X + 22x + 12xX + 3x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
33 + 18X + 22x + 12xX + 3x2 + 2x3 = 0

The solution to this equation could not be determined.

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