R^4=0.0016

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Solution for R^4=0.0016 equation:


Simplifying
R4 = 0.0016

Solving
R4 = 0.0016

Solving for variable 'R'.

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

Simplifying
R4 = 0.0016

Reorder the terms:
-0.0016 + R4 = 0.0016 + -0.0016

Combine like terms: 0.0016 + -0.0016 = 0.0000
-0.0016 + R4 = 0.0000

Factor a difference between two squares.
(0.04 + R2)(-0.04 + R2) = 0.0000

Factor a difference between two squares.
(0.04 + R2)((0.2 + R)(-0.2 + R)) = 0.0000

Subproblem 1

Set the factor '(0.04 + R2)' equal to zero and attempt to solve: Simplifying 0.04 + R2 = 0 Solving 0.04 + R2 = 0 Move all terms containing R to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + R2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + R2 = 0 + -0.04 R2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 R2 = -0.04 Simplifying R2 = -0.04 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 '(0.2 + R)' equal to zero and attempt to solve: Simplifying 0.2 + R = 0 Solving 0.2 + R = 0 Move all terms containing R to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + R = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + R = 0 + -0.2 R = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 R = -0.2 Simplifying R = -0.2

Subproblem 3

Set the factor '(-0.2 + R)' equal to zero and attempt to solve: Simplifying -0.2 + R = 0 Solving -0.2 + R = 0 Move all terms containing R to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + R = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + R = 0 + 0.2 R = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 R = 0.2 Simplifying R = 0.2

Solution

R = {-0.2, 0.2}

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