25s^2+30sf+9f^2=

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Solution for 25s^2+30sf+9f^2= equation:


Simplifying
25s2 + 30sf + 9f2 = 0

Reorder the terms:
30fs + 9f2 + 25s2 = 0

Solving
30fs + 9f2 + 25s2 = 0

Solving for variable 'f'.

Factor a trinomial.
(3f + 5s)(3f + 5s) = 0

Subproblem 1

Set the factor '(3f + 5s)' equal to zero and attempt to solve: Simplifying 3f + 5s = 0 Solving 3f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 3f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 3f + 0 = 0 + -5s 3f = 0 + -5s Remove the zero: 3f = -5s Divide each side by '3'. f = -1.666666667s Simplifying f = -1.666666667s

Subproblem 2

Set the factor '(3f + 5s)' equal to zero and attempt to solve: Simplifying 3f + 5s = 0 Solving 3f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 3f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 3f + 0 = 0 + -5s 3f = 0 + -5s Remove the zero: 3f = -5s Divide each side by '3'. f = -1.666666667s Simplifying f = -1.666666667s

Solution

f = {-1.666666667s, -1.666666667s}

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