x^10-7x^5=18

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Solution for x^10-7x^5=18 equation:


Simplifying
x10 + -7x5 = 18

Reorder the terms:
-7x5 + x10 = 18

Solving
-7x5 + x10 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + -7x5 + x10 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -7x5 + x10 = 0

Factor a trinomial.
(-2 + -1x5)(9 + -1x5) = 0

Subproblem 1

Set the factor '(-2 + -1x5)' equal to zero and attempt to solve: Simplifying -2 + -1x5 = 0 Solving -2 + -1x5 = 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 + -1x5 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x5 = 0 + 2 -1x5 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x5 = 2 Divide each side by '-1'. x5 = -2 Simplifying x5 = -2 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 '(9 + -1x5)' equal to zero and attempt to solve: Simplifying 9 + -1x5 = 0 Solving 9 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x5 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x5 = 0 + -9 -1x5 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x5 = -9 Divide each side by '-1'. x5 = 9 Simplifying x5 = 9 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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