18s^2-27sb+10b^2=0

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Solution for 18s^2-27sb+10b^2=0 equation:


Simplifying
18s2 + -27sb + 10b2 = 0

Reorder the terms:
-27bs + 10b2 + 18s2 = 0

Solving
-27bs + 10b2 + 18s2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2b + -3s)(5b + -6s) = 0

Subproblem 1

Set the factor '(2b + -3s)' equal to zero and attempt to solve: Simplifying 2b + -3s = 0 Solving 2b + -3s = 0 Move all terms containing b to the left, all other terms to the right. Add '3s' to each side of the equation. 2b + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 2b + 0 = 0 + 3s 2b = 0 + 3s Remove the zero: 2b = 3s Divide each side by '2'. b = 1.5s Simplifying b = 1.5s

Subproblem 2

Set the factor '(5b + -6s)' equal to zero and attempt to solve: Simplifying 5b + -6s = 0 Solving 5b + -6s = 0 Move all terms containing b to the left, all other terms to the right. Add '6s' to each side of the equation. 5b + -6s + 6s = 0 + 6s Combine like terms: -6s + 6s = 0 5b + 0 = 0 + 6s 5b = 0 + 6s Remove the zero: 5b = 6s Divide each side by '5'. b = 1.2s Simplifying b = 1.2s

Solution

b = {1.5s, 1.2s}

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