0=(2x+11)(x^2-8x+12)

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Solution for 0=(2x+11)(x^2-8x+12) equation: 


Simplifying
0 = (2x + 11)(x2 + -8x + 12)

Reorder the terms:
0 = (11 + 2x)(x2 + -8x + 12)

Reorder the terms:
0 = (11 + 2x)(12 + -8x + x2)

Multiply (11 + 2x) * (12 + -8x + x2)
0 = (11(12 + -8x + x2) + 2x * (12 + -8x + x2))
0 = ((12 * 11 + -8x * 11 + x2 * 11) + 2x * (12 + -8x + x2))
0 = ((132 + -88x + 11x2) + 2x * (12 + -8x + x2))
0 = (132 + -88x + 11x2 + (12 * 2x + -8x * 2x + x2 * 2x))
0 = (132 + -88x + 11x2 + (24x + -16x2 + 2x3))

Reorder the terms:
0 = (132 + -88x + 24x + 11x2 + -16x2 + 2x3)

Combine like terms: -88x + 24x = -64x
0 = (132 + -64x + 11x2 + -16x2 + 2x3)

Combine like terms: 11x2 + -16x2 = -5x2
0 = (132 + -64x + -5x2 + 2x3)

Solving
0 = 132 + -64x + -5x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + -132 = -132
-132 + 64x + 5x2 + -2x3 = 132 + -64x + -5x2 + 2x3 + -132 + 64x + 5x2 + -2x3

Reorder the terms:
-132 + 64x + 5x2 + -2x3 = 132 + -132 + -64x + 64x + -5x2 + 5x2 + 2x3 + -2x3

Combine like terms: 132 + -132 = 0
-132 + 64x + 5x2 + -2x3 = 0 + -64x + 64x + -5x2 + 5x2 + 2x3 + -2x3
-132 + 64x + 5x2 + -2x3 = -64x + 64x + -5x2 + 5x2 + 2x3 + -2x3

Combine like terms: -64x + 64x = 0
-132 + 64x + 5x2 + -2x3 = 0 + -5x2 + 5x2 + 2x3 + -2x3
-132 + 64x + 5x2 + -2x3 = -5x2 + 5x2 + 2x3 + -2x3

Combine like terms: -5x2 + 5x2 = 0
-132 + 64x + 5x2 + -2x3 = 0 + 2x3 + -2x3
-132 + 64x + 5x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-132 + 64x + 5x2 + -2x3 = 0

The solution to this equation could not be determined.

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