11=2r(2r-1)(2r-2)(2r-3)

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Solution for 11=2r(2r-1)(2r-2)(2r-3) equation: 


Simplifying
11 = 2r(2r + -1)(2r + -2)(2r + -3)

Reorder the terms:
11 = 2r(-1 + 2r)(2r + -2)(2r + -3)

Reorder the terms:
11 = 2r(-1 + 2r)(-2 + 2r)(2r + -3)

Reorder the terms:
11 = 2r(-1 + 2r)(-2 + 2r)(-3 + 2r)

Multiply (-1 + 2r) * (-2 + 2r)
11 = 2r(-1(-2 + 2r) + 2r * (-2 + 2r))(-3 + 2r)
11 = 2r((-2 * -1 + 2r * -1) + 2r * (-2 + 2r))(-3 + 2r)
11 = 2r((2 + -2r) + 2r * (-2 + 2r))(-3 + 2r)
11 = 2r(2 + -2r + (-2 * 2r + 2r * 2r))(-3 + 2r)
11 = 2r(2 + -2r + (-4r + 4r2))(-3 + 2r)

Combine like terms: -2r + -4r = -6r
11 = 2r(2 + -6r + 4r2)(-3 + 2r)

Multiply (2 + -6r + 4r2) * (-3 + 2r)
11 = 2r(2(-3 + 2r) + -6r * (-3 + 2r) + 4r2 * (-3 + 2r))
11 = 2r((-3 * 2 + 2r * 2) + -6r * (-3 + 2r) + 4r2 * (-3 + 2r))
11 = 2r((-6 + 4r) + -6r * (-3 + 2r) + 4r2 * (-3 + 2r))
11 = 2r(-6 + 4r + (-3 * -6r + 2r * -6r) + 4r2 * (-3 + 2r))
11 = 2r(-6 + 4r + (18r + -12r2) + 4r2 * (-3 + 2r))
11 = 2r(-6 + 4r + 18r + -12r2 + (-3 * 4r2 + 2r * 4r2))
11 = 2r(-6 + 4r + 18r + -12r2 + (-12r2 + 8r3))

Combine like terms: 4r + 18r = 22r
11 = 2r(-6 + 22r + -12r2 + -12r2 + 8r3)

Combine like terms: -12r2 + -12r2 = -24r2
11 = 2r(-6 + 22r + -24r2 + 8r3)
11 = (-6 * 2r + 22r * 2r + -24r2 * 2r + 8r3 * 2r)
11 = (-12r + 44r2 + -48r3 + 16r4)

Solving
11 = -12r + 44r2 + -48r3 + 16r4

Solving for variable 'r'.

Reorder the terms:
11 + 12r + -44r2 + 48r3 + -16r4 = -12r + 12r + 44r2 + -44r2 + -48r3 + 48r3 + 16r4 + -16r4

Combine like terms: -12r + 12r = 0
11 + 12r + -44r2 + 48r3 + -16r4 = 0 + 44r2 + -44r2 + -48r3 + 48r3 + 16r4 + -16r4
11 + 12r + -44r2 + 48r3 + -16r4 = 44r2 + -44r2 + -48r3 + 48r3 + 16r4 + -16r4

Combine like terms: 44r2 + -44r2 = 0
11 + 12r + -44r2 + 48r3 + -16r4 = 0 + -48r3 + 48r3 + 16r4 + -16r4
11 + 12r + -44r2 + 48r3 + -16r4 = -48r3 + 48r3 + 16r4 + -16r4

Combine like terms: -48r3 + 48r3 = 0
11 + 12r + -44r2 + 48r3 + -16r4 = 0 + 16r4 + -16r4
11 + 12r + -44r2 + 48r3 + -16r4 = 16r4 + -16r4

Combine like terms: 16r4 + -16r4 = 0
11 + 12r + -44r2 + 48r3 + -16r4 = 0

The solution to this equation could not be determined.

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