-3r^5+10r^3=0

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Solution for -3r^5+10r^3=0 equation:


Simplifying
-3r5 + 10r3 = 0

Reorder the terms:
10r3 + -3r5 = 0

Solving
10r3 + -3r5 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r3'.
r3(10 + -3r2) = 0

Subproblem 1

Set the factor 'r3' equal to zero and attempt to solve: Simplifying r3 = 0 Solving r3 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r3 = 0 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 '(10 + -3r2)' equal to zero and attempt to solve: Simplifying 10 + -3r2 = 0 Solving 10 + -3r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3r2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3r2 = 0 + -10 -3r2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3r2 = -10 Divide each side by '-3'. r2 = 3.333333333 Simplifying r2 = 3.333333333 Take the square root of each side: r = {-1.825741858, 1.825741858}

Solution

r = {-1.825741858, 1.825741858}

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