4r^2+20rs+25s^2=0

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Solution for 4r^2+20rs+25s^2=0 equation:


Simplifying
4r2 + 20rs + 25s2 = 0

Reorder the terms:
20rs + 4r2 + 25s2 = 0

Solving
20rs + 4r2 + 25s2 = 0

Solving for variable 'r'.

Factor a trinomial.
(2r + 5s)(2r + 5s) = 0

Subproblem 1

Set the factor '(2r + 5s)' equal to zero and attempt to solve: Simplifying 2r + 5s = 0 Solving 2r + 5s = 0 Move all terms containing r to the left, all other terms to the right. Add '-5s' to each side of the equation. 2r + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 2r + 0 = 0 + -5s 2r = 0 + -5s Remove the zero: 2r = -5s Divide each side by '2'. r = -2.5s Simplifying r = -2.5s

Subproblem 2

Set the factor '(2r + 5s)' equal to zero and attempt to solve: Simplifying 2r + 5s = 0 Solving 2r + 5s = 0 Move all terms containing r to the left, all other terms to the right. Add '-5s' to each side of the equation. 2r + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 2r + 0 = 0 + -5s 2r = 0 + -5s Remove the zero: 2r = -5s Divide each side by '2'. r = -2.5s Simplifying r = -2.5s

Solution

r = {-2.5s, -2.5s}

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