100x^6-1=0

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Solution for 100x^6-1=0 equation:


Simplifying
100x6 + -1 = 0

Reorder the terms:
-1 + 100x6 = 0

Solving
-1 + 100x6 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 100x6 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 100x6 = 0 + 1
100x6 = 0 + 1

Combine like terms: 0 + 1 = 1
100x6 = 1

Divide each side by '100'.
x6 = 0.01

Simplifying
x6 = 0.01

Reorder the terms:
-0.01 + x6 = 0.01 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
-0.01 + x6 = 0.00

Factor a difference between two squares.
(0.1 + x3)(-0.1 + x3) = 0.00

Subproblem 1

Set the factor '(0.1 + x3)' equal to zero and attempt to solve: Simplifying 0.1 + x3 = 0 Solving 0.1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + x3 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + x3 = 0 + -0.1 x3 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 x3 = -0.1 Simplifying x3 = -0.1 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 '(-0.1 + x3)' equal to zero and attempt to solve: Simplifying -0.1 + x3 = 0 Solving -0.1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + x3 = 0 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + x3 = 0 + 0.1 x3 = 0 + 0.1 Combine like terms: 0 + 0.1 = 0.1 x3 = 0.1 Simplifying x3 = 0.1 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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