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Simplifying
(4t + 3s)(3s + -4t) = 0
Reorder the terms:
(3s + 4t)(3s + -4t) = 0
Multiply (3s + 4t) * (3s + -4t)
(3s * (3s + -4t) + 4t * (3s + -4t)) = 0
((3s * 3s + -4t * 3s) + 4t * (3s + -4t)) = 0
Reorder the terms:
((-12st + 9s2) + 4t * (3s + -4t)) = 0
((-12st + 9s2) + 4t * (3s + -4t)) = 0
(-12st + 9s2 + (3s * 4t + -4t * 4t)) = 0
(-12st + 9s2 + (12st + -16t2)) = 0
Reorder the terms:
(-12st + 12st + 9s2 + -16t2) = 0
Combine like terms: -12st + 12st = 0
(0 + 9s2 + -16t2) = 0
(9s2 + -16t2) = 0
Solving
9s2 + -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.
9s2 + -16t2 + 16t2 = 0 + 16t2
Combine like terms: -16t2 + 16t2 = 0
9s2 + 0 = 0 + 16t2
9s2 = 0 + 16t2
Remove the zero:
9s2 = 16t2
Divide each side by '9'.
s2 = 1.777777778t2
Simplifying
s2 = 1.777777778t2
Take the square root of each side:
s = {-1.333333333t, 1.333333333t}
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