9x^3+9x^2-x-1=3x-1

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Solution for 9x^3+9x^2-x-1=3x-1 equation: 


Simplifying
9x3 + 9x2 + -1x + -1 = 3x + -1

Reorder the terms:
-1 + -1x + 9x2 + 9x3 = 3x + -1

Reorder the terms:
-1 + -1x + 9x2 + 9x3 = -1 + 3x

Add '1' to each side of the equation.
-1 + -1x + 9x2 + 1 + 9x3 = -1 + 1 + 3x

Reorder the terms:
-1 + 1 + -1x + 9x2 + 9x3 = -1 + 1 + 3x

Combine like terms: -1 + 1 = 0
0 + -1x + 9x2 + 9x3 = -1 + 1 + 3x
-1x + 9x2 + 9x3 = -1 + 1 + 3x

Combine like terms: -1 + 1 = 0
-1x + 9x2 + 9x3 = 0 + 3x
-1x + 9x2 + 9x3 = 3x

Solving
-1x + 9x2 + 9x3 = 3x

Solving for variable 'x'.

Reorder the terms:
-1x + -3x + 9x2 + 9x3 = 3x + -3x

Combine like terms: -1x + -3x = -4x
-4x + 9x2 + 9x3 = 3x + -3x

Combine like terms: 3x + -3x = 0
-4x + 9x2 + 9x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 9x + 9x2) = 0

Factor a trinomial.
x((-4 + -3x)(1 + -3x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 3
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0, -1.333333333, 0.3333333333}

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