25p^2(q^2)+30pqrs+9r^2(s^2)=0

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Solution for 25p^2(q^2)+30pqrs+9r^2(s^2)=0 equation: 


Simplifying
25p2(q2) + 30pqrs + 9r2(s2) = 0

Multiply p2 * q2
25p2q2 + 30pqrs + 9r2(s2) = 0

Multiply r2 * s2
25p2q2 + 30pqrs + 9r2s2 = 0

Reorder the terms:
30pqrs + 25p2q2 + 9r2s2 = 0

Solving
30pqrs + 25p2q2 + 9r2s2 = 0

Solving for variable 'p'.

Factor a trinomial.
(5pq + 3rs)(5pq + 3rs) = 0


Subproblem 1
Set the factor '(5pq + 3rs)' equal to zero and attempt to solve:

Simplifying
5pq + 3rs = 0

Solving
5pq + 3rs = 0

Move all terms containing p to the left, all other terms to the right.

Add '-3rs' to each side of the equation.
5pq + 3rs + -3rs = 0 + -3rs

Combine like terms: 3rs + -3rs = 0
5pq + 0 = 0 + -3rs
5pq = 0 + -3rs
Remove the zero:
5pq = -3rs

Divide each side by '5q'.
p = -0.6q-1rs

Simplifying
p = -0.6q-1rs

Subproblem 2
Set the factor '(5pq + 3rs)' equal to zero and attempt to solve:

Simplifying
5pq + 3rs = 0

Solving
5pq + 3rs = 0

Move all terms containing p to the left, all other terms to the right.

Add '-3rs' to each side of the equation.
5pq + 3rs + -3rs = 0 + -3rs

Combine like terms: 3rs + -3rs = 0
5pq + 0 = 0 + -3rs
5pq = 0 + -3rs
Remove the zero:
5pq = -3rs

Divide each side by '5q'.
p = -0.6q-1rs

Simplifying
p = -0.6q-1rs
Solution
p = {-0.6q-1rs, -0.6q-1rs}

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