(x+1)(x+2)(x+6)=x^3+9x^2+4(7x-1)

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Solution for (x+1)(x+2)(x+6)=x^3+9x^2+4(7x-1) equation: 


Simplifying
(x + 1)(x + 2)(x + 6) = x3 + 9x2 + 4(7x + -1)

Reorder the terms:
(1 + x)(x + 2)(x + 6) = x3 + 9x2 + 4(7x + -1)

Reorder the terms:
(1 + x)(2 + x)(x + 6) = x3 + 9x2 + 4(7x + -1)

Reorder the terms:
(1 + x)(2 + x)(6 + x) = x3 + 9x2 + 4(7x + -1)

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x))(6 + x) = x3 + 9x2 + 4(7x + -1)
((2 * 1 + x * 1) + x(2 + x))(6 + x) = x3 + 9x2 + 4(7x + -1)
((2 + 1x) + x(2 + x))(6 + x) = x3 + 9x2 + 4(7x + -1)
(2 + 1x + (2 * x + x * x))(6 + x) = x3 + 9x2 + 4(7x + -1)
(2 + 1x + (2x + x2))(6 + x) = x3 + 9x2 + 4(7x + -1)

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2)(6 + x) = x3 + 9x2 + 4(7x + -1)

Multiply (2 + 3x + x2) * (6 + x)
(2(6 + x) + 3x * (6 + x) + x2(6 + x)) = x3 + 9x2 + 4(7x + -1)
((6 * 2 + x * 2) + 3x * (6 + x) + x2(6 + x)) = x3 + 9x2 + 4(7x + -1)
((12 + 2x) + 3x * (6 + x) + x2(6 + x)) = x3 + 9x2 + 4(7x + -1)
(12 + 2x + (6 * 3x + x * 3x) + x2(6 + x)) = x3 + 9x2 + 4(7x + -1)
(12 + 2x + (18x + 3x2) + x2(6 + x)) = x3 + 9x2 + 4(7x + -1)
(12 + 2x + 18x + 3x2 + (6 * x2 + x * x2)) = x3 + 9x2 + 4(7x + -1)
(12 + 2x + 18x + 3x2 + (6x2 + x3)) = x3 + 9x2 + 4(7x + -1)

Combine like terms: 2x + 18x = 20x
(12 + 20x + 3x2 + 6x2 + x3) = x3 + 9x2 + 4(7x + -1)

Combine like terms: 3x2 + 6x2 = 9x2
(12 + 20x + 9x2 + x3) = x3 + 9x2 + 4(7x + -1)

Reorder the terms:
12 + 20x + 9x2 + x3 = x3 + 9x2 + 4(-1 + 7x)
12 + 20x + 9x2 + x3 = x3 + 9x2 + (-1 * 4 + 7x * 4)
12 + 20x + 9x2 + x3 = x3 + 9x2 + (-4 + 28x)

Reorder the terms:
12 + 20x + 9x2 + x3 = -4 + 28x + 9x2 + x3

Add '-9x2' to each side of the equation.
12 + 20x + 9x2 + -9x2 + x3 = -4 + 28x + 9x2 + -9x2 + x3

Combine like terms: 9x2 + -9x2 = 0
12 + 20x + 0 + x3 = -4 + 28x + 9x2 + -9x2 + x3
12 + 20x + x3 = -4 + 28x + 9x2 + -9x2 + x3

Combine like terms: 9x2 + -9x2 = 0
12 + 20x + x3 = -4 + 28x + 0 + x3
12 + 20x + x3 = -4 + 28x + x3

Add '-1x3' to each side of the equation.
12 + 20x + x3 + -1x3 = -4 + 28x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
12 + 20x + 0 = -4 + 28x + x3 + -1x3
12 + 20x = -4 + 28x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
12 + 20x = -4 + 28x + 0
12 + 20x = -4 + 28x

Solving
12 + 20x = -4 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
12 + 20x + -28x = -4 + 28x + -28x

Combine like terms: 20x + -28x = -8x
12 + -8x = -4 + 28x + -28x

Combine like terms: 28x + -28x = 0
12 + -8x = -4 + 0
12 + -8x = -4

Add '-12' to each side of the equation.
12 + -12 + -8x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -4 + -12
-8x = -4 + -12

Combine like terms: -4 + -12 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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