5r^5t^5-10r^6t^4=0

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Solution for 5r^5t^5-10r^6t^4=0 equation:


Simplifying
5r5t5 + -10r6t4 = 0

Solving
5r5t5 + -10r6t4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5r5t4'.
5r5t4(t + -2r) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'r5t4' equal to zero and attempt to solve: Simplifying r5t4 = 0 Solving r5t4 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r5t4 = 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 '(t + -2r)' equal to zero and attempt to solve: Simplifying t + -2r = 0 Reorder the terms: -2r + t = 0 Solving -2r + t = 0 Move all terms containing r to the left, all other terms to the right. Add '-1t' to each side of the equation. -2r + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 -2r + 0 = 0 + -1t -2r = 0 + -1t Remove the zero: -2r = -1t Divide each side by '-2'. r = 0.5t Simplifying r = 0.5t

Solution

r = {0.5t}

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