8s^2-6sw-9w^2=0

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Solution for 8s^2-6sw-9w^2=0 equation:


Simplifying
8s2 + -6sw + -9w2 = 0

Reorder the terms:
-6sw + 8s2 + -9w2 = 0

Solving
-6sw + 8s2 + -9w2 = 0

Solving for variable 's'.

Factor a trinomial.
(2s + -3w)(4s + 3w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4s + 3w)' equal to zero and attempt to solve: Simplifying 4s + 3w = 0 Solving 4s + 3w = 0 Move all terms containing s to the left, all other terms to the right. Add '-3w' to each side of the equation. 4s + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 4s + 0 = 0 + -3w 4s = 0 + -3w Remove the zero: 4s = -3w Divide each side by '4'. s = -0.75w Simplifying s = -0.75w

Solution

s = {1.5w, -0.75w}

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