6s^2-7st-3t^2=0

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Solution for 6s^2-7st-3t^2=0 equation:


Simplifying
6s2 + -7st + -3t2 = 0

Reorder the terms:
-7st + 6s2 + -3t2 = 0

Solving
-7st + 6s2 + -3t2 = 0

Solving for variable 's'.

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

Subproblem 1

Set the factor '(2s + -3t)' equal to zero and attempt to solve: Simplifying 2s + -3t = 0 Solving 2s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. 2s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 2s + 0 = 0 + 3t 2s = 0 + 3t Remove the zero: 2s = 3t Divide each side by '2'. s = 1.5t Simplifying s = 1.5t

Subproblem 2

Set the factor '(3s + t)' equal to zero and attempt to solve: Simplifying 3s + t = 0 Solving 3s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. 3s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 3s + 0 = 0 + -1t 3s = 0 + -1t Remove the zero: 3s = -1t Divide each side by '3'. s = -0.3333333333t Simplifying s = -0.3333333333t

Solution

s = {1.5t, -0.3333333333t}

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