49s^2-70st+25t^2=

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Solution for 49s^2-70st+25t^2= equation:


Simplifying
49s2 + -70st + 25t2 = 0

Reorder the terms:
-70st + 49s2 + 25t2 = 0

Solving
-70st + 49s2 + 25t2 = 0

Solving for variable 's'.

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

Subproblem 1

Set the factor '(7s + -5t)' equal to zero and attempt to solve: Simplifying 7s + -5t = 0 Solving 7s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. 7s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 7s + 0 = 0 + 5t 7s = 0 + 5t Remove the zero: 7s = 5t Divide each side by '7'. s = 0.7142857143t Simplifying s = 0.7142857143t

Subproblem 2

Set the factor '(7s + -5t)' equal to zero and attempt to solve: Simplifying 7s + -5t = 0 Solving 7s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. 7s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 7s + 0 = 0 + 5t 7s = 0 + 5t Remove the zero: 7s = 5t Divide each side by '7'. s = 0.7142857143t Simplifying s = 0.7142857143t

Solution

s = {0.7142857143t, 0.7142857143t}

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