X^3+3x^2+2x=40(x+(x+1)+(x+2))

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Solution for X^3+3x^2+2x=40(x+(x+1)+(x+2)) equation: 


Simplifying
X3 + 3x2 + 2x = 40(x + (x + 1) + (x + 2))

Reorder the terms:
X3 + 2x + 3x2 = 40(x + (x + 1) + (x + 2))

Reorder the terms:
X3 + 2x + 3x2 = 40(x + (1 + x) + (x + 2))

Remove parenthesis around (1 + x)
X3 + 2x + 3x2 = 40(x + 1 + x + (x + 2))

Reorder the terms:
X3 + 2x + 3x2 = 40(x + 1 + x + (2 + x))

Remove parenthesis around (2 + x)
X3 + 2x + 3x2 = 40(x + 1 + x + 2 + x)

Reorder the terms:
X3 + 2x + 3x2 = 40(1 + 2 + x + x + x)

Combine like terms: 1 + 2 = 3
X3 + 2x + 3x2 = 40(3 + x + x + x)

Combine like terms: x + x = 2x
X3 + 2x + 3x2 = 40(3 + 2x + x)

Combine like terms: 2x + x = 3x
X3 + 2x + 3x2 = 40(3 + 3x)
X3 + 2x + 3x2 = (3 * 40 + 3x * 40)
X3 + 2x + 3x2 = (120 + 120x)

Solving
X3 + 2x + 3x2 = 120 + 120x

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
X3 + 2x + -2x + 3x2 = 120 + 120x + -2x

Combine like terms: 2x + -2x = 0
X3 + 0 + 3x2 = 120 + 120x + -2x
X3 + 3x2 = 120 + 120x + -2x

Combine like terms: 120x + -2x = 118x
X3 + 3x2 = 120 + 118x

Add '-3x2' to each side of the equation.
X3 + 3x2 + -3x2 = 120 + 118x + -3x2

Combine like terms: 3x2 + -3x2 = 0
X3 + 0 = 120 + 118x + -3x2
X3 = 120 + 118x + -3x2

Simplifying
X3 = 120 + 118x + -3x2

Reorder the terms:
-120 + X3 + -118x + 3x2 = 120 + 118x + -3x2 + -120 + -118x + 3x2

Reorder the terms:
-120 + X3 + -118x + 3x2 = 120 + -120 + 118x + -118x + -3x2 + 3x2

Combine like terms: 120 + -120 = 0
-120 + X3 + -118x + 3x2 = 0 + 118x + -118x + -3x2 + 3x2
-120 + X3 + -118x + 3x2 = 118x + -118x + -3x2 + 3x2

Combine like terms: 118x + -118x = 0
-120 + X3 + -118x + 3x2 = 0 + -3x2 + 3x2
-120 + X3 + -118x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-120 + X3 + -118x + 3x2 = 0

The solution to this equation could not be determined.

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