(8s-3t)(8s+3t)=

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Solution for (8s-3t)(8s+3t)= equation:


Simplifying
(8s + -3t)(8s + 3t) = 0

Multiply (8s + -3t) * (8s + 3t)
(8s * (8s + 3t) + -3t * (8s + 3t)) = 0
((8s * 8s + 3t * 8s) + -3t * (8s + 3t)) = 0

Reorder the terms:
((24st + 64s2) + -3t * (8s + 3t)) = 0
((24st + 64s2) + -3t * (8s + 3t)) = 0
(24st + 64s2 + (8s * -3t + 3t * -3t)) = 0
(24st + 64s2 + (-24st + -9t2)) = 0

Reorder the terms:
(24st + -24st + 64s2 + -9t2) = 0

Combine like terms: 24st + -24st = 0
(0 + 64s2 + -9t2) = 0
(64s2 + -9t2) = 0

Solving
64s2 + -9t2 = 0

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '9t2' to each side of the equation.
64s2 + -9t2 + 9t2 = 0 + 9t2

Combine like terms: -9t2 + 9t2 = 0
64s2 + 0 = 0 + 9t2
64s2 = 0 + 9t2
Remove the zero:
64s2 = 9t2

Divide each side by '64'.
s2 = 0.140625t2

Simplifying
s2 = 0.140625t2

Take the square root of each side:
s = {-0.375t, 0.375t}

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