27x^6=28x^3-1

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Solution for 27x^6=28x^3-1 equation: 


Simplifying
27x6 = 28x3 + -1

Reorder the terms:
27x6 = -1 + 28x3

Solving
27x6 = -1 + 28x3

Solving for variable 'x'.

Reorder the terms:
1 + -28x3 + 27x6 = -1 + 28x3 + 1 + -28x3

Reorder the terms:
1 + -28x3 + 27x6 = -1 + 1 + 28x3 + -28x3

Combine like terms: -1 + 1 = 0
1 + -28x3 + 27x6 = 0 + 28x3 + -28x3
1 + -28x3 + 27x6 = 28x3 + -28x3

Combine like terms: 28x3 + -28x3 = 0
1 + -28x3 + 27x6 = 0

Factor a trinomial.
(1 + -27x3)(1 + -1x3) = 0


Subproblem 1
Set the factor '(1 + -27x3)' equal to zero and attempt to solve:

Simplifying
1 + -27x3 = 0

Solving
1 + -27x3 = 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 + -27x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -27x3 = 0 + -1
-27x3 = 0 + -1

Combine like terms: 0 + -1 = -1
-27x3 = -1

Divide each side by '-27'.
x3 = 0.03703703704

Simplifying
x3 = 0.03703703704

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(1 + -1x3)' equal to zero and attempt to solve:

Simplifying
1 + -1x3 = 0

Solving
1 + -1x3 = 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 + -1x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x3 = 0 + -1
-1x3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1x3 = -1

Divide each side by '-1'.
x3 = 1

Simplifying
x3 = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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