x^6-58x^5-59x^4=

Solution for x^6-58x^5-59x^4= equation:

Simplifying
x6 + -58x5 + -59x4 = 0

Reorder the terms:
-59x4 + -58x5 + x6 = 0

Solving
-59x4 + -58x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x4'.
x4(-59 + -58x + x2) = 0

Factor a trinomial.
x4((-1 + -1x)(59 + -1x)) = 0

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 '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 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 + -1x = 0 + 1

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

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

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

Simplifying
x = -1
Subproblem 3
Set the factor '(59 + -1x)' equal to zero and attempt to solve:

Simplifying
59 + -1x = 0

Solving
59 + -1x = 0

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

Add '-59' to each side of the equation.
59 + -59 + -1x = 0 + -59

Combine like terms: 59 + -59 = 0
0 + -1x = 0 + -59
-1x = 0 + -59

Combine like terms: 0 + -59 = -59
-1x = -59

Divide each side by '-1'.
x = 59

Simplifying
x = 59
Solution
x = {-1, 59}