r^4+4r^2=0

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Solution for r^4+4r^2=0 equation:


Simplifying
r4 + 4r2 = 0

Reorder the terms:
4r2 + r4 = 0

Solving
4r2 + r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(4 + r2) = 0

Subproblem 1

Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}

Subproblem 2

Set the factor '(4 + r2)' equal to zero and attempt to solve: Simplifying 4 + r2 = 0 Solving 4 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r2 = 0 + -4 r2 = 0 + -4 Combine like terms: 0 + -4 = -4 r2 = -4 Simplifying r2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

r = {0}

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