4x(x+1)(x-2)+5(x-2)=28(x+1)

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Solution for 4x(x+1)(x-2)+5(x-2)=28(x+1) equation: 


Simplifying
4x(x + 1)(x + -2) + 5(x + -2) = 28(x + 1)

Reorder the terms:
4x(1 + x)(x + -2) + 5(x + -2) = 28(x + 1)

Reorder the terms:
4x(1 + x)(-2 + x) + 5(x + -2) = 28(x + 1)

Multiply (1 + x) * (-2 + x)
4x(1(-2 + x) + x(-2 + x)) + 5(x + -2) = 28(x + 1)
4x((-2 * 1 + x * 1) + x(-2 + x)) + 5(x + -2) = 28(x + 1)
4x((-2 + 1x) + x(-2 + x)) + 5(x + -2) = 28(x + 1)
4x(-2 + 1x + (-2 * x + x * x)) + 5(x + -2) = 28(x + 1)
4x(-2 + 1x + (-2x + x2)) + 5(x + -2) = 28(x + 1)

Combine like terms: 1x + -2x = -1x
4x(-2 + -1x + x2) + 5(x + -2) = 28(x + 1)
(-2 * 4x + -1x * 4x + x2 * 4x) + 5(x + -2) = 28(x + 1)
(-8x + -4x2 + 4x3) + 5(x + -2) = 28(x + 1)

Reorder the terms:
-8x + -4x2 + 4x3 + 5(-2 + x) = 28(x + 1)
-8x + -4x2 + 4x3 + (-2 * 5 + x * 5) = 28(x + 1)
-8x + -4x2 + 4x3 + (-10 + 5x) = 28(x + 1)

Reorder the terms:
-10 + -8x + 5x + -4x2 + 4x3 = 28(x + 1)

Combine like terms: -8x + 5x = -3x
-10 + -3x + -4x2 + 4x3 = 28(x + 1)

Reorder the terms:
-10 + -3x + -4x2 + 4x3 = 28(1 + x)
-10 + -3x + -4x2 + 4x3 = (1 * 28 + x * 28)
-10 + -3x + -4x2 + 4x3 = (28 + 28x)

Solving
-10 + -3x + -4x2 + 4x3 = 28 + 28x

Solving for variable 'x'.

Reorder the terms:
-10 + -28 + -3x + -28x + -4x2 + 4x3 = 28 + 28x + -28 + -28x

Combine like terms: -10 + -28 = -38
-38 + -3x + -28x + -4x2 + 4x3 = 28 + 28x + -28 + -28x

Combine like terms: -3x + -28x = -31x
-38 + -31x + -4x2 + 4x3 = 28 + 28x + -28 + -28x

Reorder the terms:
-38 + -31x + -4x2 + 4x3 = 28 + -28 + 28x + -28x

Combine like terms: 28 + -28 = 0
-38 + -31x + -4x2 + 4x3 = 0 + 28x + -28x
-38 + -31x + -4x2 + 4x3 = 28x + -28x

Combine like terms: 28x + -28x = 0
-38 + -31x + -4x2 + 4x3 = 0

The solution to this equation could not be determined.

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