7s^2-20st-3t^2=0

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Solution for 7s^2-20st-3t^2=0 equation:


Simplifying
7s2 + -20st + -3t2 = 0

Reorder the terms:
-20st + 7s2 + -3t2 = 0

Solving
-20st + 7s2 + -3t2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + -3t)(7s + t) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7s + t)' equal to zero and attempt to solve: Simplifying 7s + t = 0 Solving 7s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. 7s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 7s + 0 = 0 + -1t 7s = 0 + -1t Remove the zero: 7s = -1t Divide each side by '7'. s = -0.1428571429t Simplifying s = -0.1428571429t

Solution

s = {3t, -0.1428571429t}

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