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Simplifying
(7s + -4t)(7s + 4t) = 0
Multiply (7s + -4t) * (7s + 4t)
(7s * (7s + 4t) + -4t * (7s + 4t)) = 0
((7s * 7s + 4t * 7s) + -4t * (7s + 4t)) = 0
Reorder the terms:
((28st + 49s2) + -4t * (7s + 4t)) = 0
((28st + 49s2) + -4t * (7s + 4t)) = 0
(28st + 49s2 + (7s * -4t + 4t * -4t)) = 0
(28st + 49s2 + (-28st + -16t2)) = 0
Reorder the terms:
(28st + -28st + 49s2 + -16t2) = 0
Combine like terms: 28st + -28st = 0
(0 + 49s2 + -16t2) = 0
(49s2 + -16t2) = 0
Solving
49s2 + -16t2 = 0
Solving for variable 's'.
Move all terms containing s to the left, all other terms to the right.
Add '16t2' to each side of the equation.
49s2 + -16t2 + 16t2 = 0 + 16t2
Combine like terms: -16t2 + 16t2 = 0
49s2 + 0 = 0 + 16t2
49s2 = 0 + 16t2
Remove the zero:
49s2 = 16t2
Divide each side by '49'.
s2 = 0.3265306122t2
Simplifying
s2 = 0.3265306122t2
Take the square root of each side:
s = {-0.571428571t, 0.571428571t}
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