2r^4+46r^2=0

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Solution for 2r^4+46r^2=0 equation:


Simplifying
2r4 + 46r2 = 0

Reorder the terms:
46r2 + 2r4 = 0

Solving
46r2 + 2r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r2'.
2r2(23 + r2) = 0

Ignore the factor 2.

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 '(23 + r2)' equal to zero and attempt to solve: Simplifying 23 + r2 = 0 Solving 23 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + r2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + r2 = 0 + -23 r2 = 0 + -23 Combine like terms: 0 + -23 = -23 r2 = -23 Simplifying r2 = -23 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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