=2x^6+14x^5+20x^4

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Solution for =2x^6+14x^5+20x^4 equation: 


Simplifying
0 = 2x6 + 14x5 + 20x4

Reorder the terms:
0 = 20x4 + 14x5 + 2x6

Solving
0 = 20x4 + 14x5 + 2x6

Solving for variable 'x'.
Remove the zero:
-20x4 + -14x5 + -2x6 = 20x4 + 14x5 + 2x6 + -20x4 + -14x5 + -2x6

Reorder the terms:
-20x4 + -14x5 + -2x6 = 20x4 + -20x4 + 14x5 + -14x5 + 2x6 + -2x6

Combine like terms: 20x4 + -20x4 = 0
-20x4 + -14x5 + -2x6 = 0 + 14x5 + -14x5 + 2x6 + -2x6
-20x4 + -14x5 + -2x6 = 14x5 + -14x5 + 2x6 + -2x6

Combine like terms: 14x5 + -14x5 = 0
-20x4 + -14x5 + -2x6 = 0 + 2x6 + -2x6
-20x4 + -14x5 + -2x6 = 2x6 + -2x6

Combine like terms: 2x6 + -2x6 = 0
-20x4 + -14x5 + -2x6 = 0

Factor out the Greatest Common Factor (GCF), '-2x4'.
-2x4(10 + 7x + x2) = 0

Factor a trinomial.
-2x4((5 + x)(2 + x)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 0

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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-5, -2}

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