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Simplifying
(6s + -5t)(6s + 5t) = 0
Multiply (6s + -5t) * (6s + 5t)
(6s * (6s + 5t) + -5t * (6s + 5t)) = 0
((6s * 6s + 5t * 6s) + -5t * (6s + 5t)) = 0
Reorder the terms:
((30st + 36s2) + -5t * (6s + 5t)) = 0
((30st + 36s2) + -5t * (6s + 5t)) = 0
(30st + 36s2 + (6s * -5t + 5t * -5t)) = 0
(30st + 36s2 + (-30st + -25t2)) = 0
Reorder the terms:
(30st + -30st + 36s2 + -25t2) = 0
Combine like terms: 30st + -30st = 0
(0 + 36s2 + -25t2) = 0
(36s2 + -25t2) = 0
Solving
36s2 + -25t2 = 0
Solving for variable 's'.
Move all terms containing s to the left, all other terms to the right.
Add '25t2' to each side of the equation.
36s2 + -25t2 + 25t2 = 0 + 25t2
Combine like terms: -25t2 + 25t2 = 0
36s2 + 0 = 0 + 25t2
36s2 = 0 + 25t2
Remove the zero:
36s2 = 25t2
Divide each side by '36'.
s2 = 0.6944444444t2
Simplifying
s2 = 0.6944444444t2
Take the square root of each side:
s = {-0.833333333t, 0.833333333t}
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