25r^2+90rd+81d^2=

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Solution for 25r^2+90rd+81d^2= equation:


Simplifying
25r2 + 90rd + 81d2 = 0

Reorder the terms:
90dr + 81d2 + 25r2 = 0

Solving
90dr + 81d2 + 25r2 = 0

Solving for variable 'd'.

Factor a trinomial.
(9d + 5r)(9d + 5r) = 0

Subproblem 1

Set the factor '(9d + 5r)' equal to zero and attempt to solve: Simplifying 9d + 5r = 0 Solving 9d + 5r = 0 Move all terms containing d to the left, all other terms to the right. Add '-5r' to each side of the equation. 9d + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 9d + 0 = 0 + -5r 9d = 0 + -5r Remove the zero: 9d = -5r Divide each side by '9'. d = -0.5555555556r Simplifying d = -0.5555555556r

Subproblem 2

Set the factor '(9d + 5r)' equal to zero and attempt to solve: Simplifying 9d + 5r = 0 Solving 9d + 5r = 0 Move all terms containing d to the left, all other terms to the right. Add '-5r' to each side of the equation. 9d + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 9d + 0 = 0 + -5r 9d = 0 + -5r Remove the zero: 9d = -5r Divide each side by '9'. d = -0.5555555556r Simplifying d = -0.5555555556r

Solution

d = {-0.5555555556r, -0.5555555556r}

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