2st+7t^2-5s^2=0

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Solution for 2st+7t^2-5s^2=0 equation:


Simplifying
2st + 7t2 + -5s2 = 0

Reorder the terms:
2st + -5s2 + 7t2 = 0

Solving
2st + -5s2 + 7t2 = 0

Solving for variable 's'.

Factor a trinomial.
(-1s + -1t)(5s + -7t) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5s + -7t)' equal to zero and attempt to solve: Simplifying 5s + -7t = 0 Solving 5s + -7t = 0 Move all terms containing s to the left, all other terms to the right. Add '7t' to each side of the equation. 5s + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 5s + 0 = 0 + 7t 5s = 0 + 7t Remove the zero: 5s = 7t Divide each side by '5'. s = 1.4t Simplifying s = 1.4t

Solution

s = {-1t, 1.4t}

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