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Simplifying
5sqrt(2x4) * 5sqrt(16x) = 2x
Remove parenthesis around (2x4)
5qrst * 2x4 * 5sqrt(16x) = 2x
Remove parenthesis around (16x)
5qrst * 2x4 * 5qrst * 16x = 2x
Reorder the terms for easier multiplication:
5 * 2 * 5 * 16qrst * x4 * qrst * x = 2x
Multiply 5 * 2
10 * 5 * 16qrst * x4 * qrst * x = 2x
Multiply 10 * 5
50 * 16qrst * x4 * qrst * x = 2x
Multiply 50 * 16
800qrst * x4 * qrst * x = 2x
Multiply qrst * x4
800qrstx4 * qrst * x = 2x
Multiply qrstx4 * qrst
800q2r2s2t2x4 * x = 2x
Multiply q2r2s2t2x4 * x
800q2r2s2t2x5 = 2x
Solving
800q2r2s2t2x5 = 2x
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Divide each side by '800r2s2t2x5'.
q2 = 0.0025r-2s-2t-2x-4
Simplifying
q2 = 0.0025r-2s-2t-2x-4
Take the square root of each side:
q = {-0.05r-1s-1t-1x-2, 0.05r-1s-1t-1x-2}
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