-7x^6-14x^5+336x^4=

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Solution for -7x^6-14x^5+336x^4= equation:


Simplifying
-7x6 + -14x5 + 336x4 = 0

Reorder the terms:
336x4 + -14x5 + -7x6 = 0

Solving
336x4 + -14x5 + -7x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x4'.
7x4(48 + -2x + -1x2) = 0

Factor a trinomial.
7x4((6 + -1x)(8 + x)) = 0

Ignore the factor 7.

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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Subproblem 3

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Solution

x = {6, -8}

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