11=7+x^6

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Solution for 11=7+x^6 equation:


Simplifying
11 = 7 + x6

Solving
11 = 7 + x6

Solving for variable 'x'.

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

Add '-1x6' to each side of the equation.
11 + -1x6 = 7 + x6 + -1x6

Combine like terms: x6 + -1x6 = 0
11 + -1x6 = 7 + 0
11 + -1x6 = 7

Add '-11' to each side of the equation.
11 + -11 + -1x6 = 7 + -11

Combine like terms: 11 + -11 = 0
0 + -1x6 = 7 + -11
-1x6 = 7 + -11

Combine like terms: 7 + -11 = -4
-1x6 = -4

Divide each side by '-1'.
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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