5x^6-17=3

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Solution for 5x^6-17=3 equation:


Simplifying
5x6 + -17 = 3

Reorder the terms:
-17 + 5x6 = 3

Solving
-17 + 5x6 = 3

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 5x6 = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 5x6 = 3 + 17
5x6 = 3 + 17

Combine like terms: 3 + 17 = 20
5x6 = 20

Divide each side by '5'.
x6 = 4

Simplifying
x6 = 4

Reorder the terms:
-4 + x6 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + x6 = 0

Factor a difference between two squares.
(2 + x3)(-2 + x3) = 0

Subproblem 1

Set the factor '(2 + x3)' equal to zero and attempt to solve: Simplifying 2 + x3 = 0 Solving 2 + x3 = 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 + x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x3 = 0 + -2 x3 = 0 + -2 Combine like terms: 0 + -2 = -2 x3 = -2 Simplifying x3 = -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 '(-2 + x3)' equal to zero and attempt to solve: Simplifying -2 + x3 = 0 Solving -2 + x3 = 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 + x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x3 = 0 + 2 x3 = 0 + 2 Combine like terms: 0 + 2 = 2 x3 = 2 Simplifying x3 = 2 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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