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

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


Simplifying
(7x3 + -4x2 + -2x + 1) + (a3 + -1) = 0

Reorder the terms:
(1 + -2x + -4x2 + 7x3) + (a3 + -1) = 0

Remove parenthesis around (1 + -2x + -4x2 + 7x3)
1 + -2x + -4x2 + 7x3 + (a3 + -1) = 0

Reorder the terms:
1 + -2x + -4x2 + 7x3 + (-1 + a3) = 0

Remove parenthesis around (-1 + a3)
1 + -2x + -4x2 + 7x3 + -1 + a3 = 0

Reorder the terms:
1 + -1 + a3 + -2x + -4x2 + 7x3 = 0

Combine like terms: 1 + -1 = 0
0 + a3 + -2x + -4x2 + 7x3 = 0
a3 + -2x + -4x2 + 7x3 = 0

Solving
a3 + -2x + -4x2 + 7x3 = 0

Solving for variable 'a'.

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

Add '2x' to each side of the equation.
a3 + -2x + -4x2 + 2x + 7x3 = 0 + 2x

Reorder the terms:
a3 + -2x + 2x + -4x2 + 7x3 = 0 + 2x

Combine like terms: -2x + 2x = 0
a3 + 0 + -4x2 + 7x3 = 0 + 2x
a3 + -4x2 + 7x3 = 0 + 2x
Remove the zero:
a3 + -4x2 + 7x3 = 2x

Add '4x2' to each side of the equation.
a3 + -4x2 + 4x2 + 7x3 = 2x + 4x2

Combine like terms: -4x2 + 4x2 = 0
a3 + 0 + 7x3 = 2x + 4x2
a3 + 7x3 = 2x + 4x2

Add '-7x3' to each side of the equation.
a3 + 7x3 + -7x3 = 2x + 4x2 + -7x3

Combine like terms: 7x3 + -7x3 = 0
a3 + 0 = 2x + 4x2 + -7x3
a3 = 2x + 4x2 + -7x3

Simplifying
a3 = 2x + 4x2 + -7x3

Reorder the terms:
a3 + -2x + -4x2 + 7x3 = 2x + -2x + 4x2 + -4x2 + -7x3 + 7x3

Combine like terms: 2x + -2x = 0
a3 + -2x + -4x2 + 7x3 = 0 + 4x2 + -4x2 + -7x3 + 7x3
a3 + -2x + -4x2 + 7x3 = 4x2 + -4x2 + -7x3 + 7x3

Combine like terms: 4x2 + -4x2 = 0
a3 + -2x + -4x2 + 7x3 = 0 + -7x3 + 7x3
a3 + -2x + -4x2 + 7x3 = -7x3 + 7x3

Combine like terms: -7x3 + 7x3 = 0
a3 + -2x + -4x2 + 7x3 = 0

The solution to this equation could not be determined.

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