3x^12+54x^7+51x^2=0

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Solution for 3x^12+54x^7+51x^2=0 equation: 


Simplifying
3x12 + 54x7 + 51x2 = 0

Reorder the terms:
51x2 + 54x7 + 3x12 = 0

Solving
51x2 + 54x7 + 3x12 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(17 + 18x5 + x10) = 0

Factor a trinomial.
3x2((17 + x5)(1 + x5)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(17 + x5)' equal to zero and attempt to solve:

Simplifying
17 + x5 = 0

Solving
17 + x5 = 0

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

Add '-17' to each side of the equation.
17 + -17 + x5 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x5 = 0 + -17
x5 = 0 + -17

Combine like terms: 0 + -17 = -17
x5 = -17

Simplifying
x5 = -17

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(1 + x5)' equal to zero and attempt to solve:

Simplifying
1 + x5 = 0

Solving
1 + x5 = 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 + x5 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x5 = 0 + -1
x5 = 0 + -1

Combine like terms: 0 + -1 = -1
x5 = -1

Simplifying
x5 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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