x^4=0.0081

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Solution for x^4=0.0081 equation:


Simplifying
x4 = 0.0081

Solving
x4 = 0.0081

Solving for variable 'x'.

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

Simplifying
x4 = 0.0081

Reorder the terms:
-0.0081 + x4 = 0.0081 + -0.0081

Combine like terms: 0.0081 + -0.0081 = 0.0000
-0.0081 + x4 = 0.0000

Factor a difference between two squares.
(0.09 + x2)(-0.09 + x2) = 0.0000

Factor a difference between two squares.
(0.09 + x2)((0.3 + x)(-0.3 + x)) = 0.0000

Subproblem 1

Set the factor '(0.09 + x2)' equal to zero and attempt to solve: Simplifying 0.09 + x2 = 0 Solving 0.09 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.09' to each side of the equation. 0.09 + -0.09 + x2 = 0 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + x2 = 0 + -0.09 x2 = 0 + -0.09 Combine like terms: 0 + -0.09 = -0.09 x2 = -0.09 Simplifying x2 = -0.09 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 '(0.3 + x)' equal to zero and attempt to solve: Simplifying 0.3 + x = 0 Solving 0.3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + x = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + x = 0 + -0.3 x = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 x = -0.3 Simplifying x = -0.3

Subproblem 3

Set the factor '(-0.3 + x)' equal to zero and attempt to solve: Simplifying -0.3 + x = 0 Solving -0.3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + x = 0 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + x = 0 + 0.3 x = 0 + 0.3 Combine like terms: 0 + 0.3 = 0.3 x = 0.3 Simplifying x = 0.3

Solution

x = {-0.3, 0.3}

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