sqrt(12.25+x^2)-sqrt(9+x^2)=0.25

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Solution for sqrt(12.25+x^2)-sqrt(9+x^2)=0.25 equation: 


Simplifying
sqrt(12.25 + x2) + -1sqrt(9 + x2) = 0.25
(12.25 * qrst + x2 * qrst) + -1sqrt(9 + x2) = 0.25
(12.25qrst + qrstx2) + -1sqrt(9 + x2) = 0.25
12.25qrst + qrstx2 + (9 * -1qrst + x2 * -1qrst) = 0.25
12.25qrst + qrstx2 + (-9qrst + -1qrstx2) = 0.25

Reorder the terms:
12.25qrst + -9qrst + qrstx2 + -1qrstx2 = 0.25

Combine like terms: 12.25qrst + -9qrst = 3.25qrst
3.25qrst + qrstx2 + -1qrstx2 = 0.25

Combine like terms: qrstx2 + -1qrstx2 = 0
3.25qrst + 0 = 0.25
3.25qrst = 0.25

Solving
3.25qrst = 0.25

Solving for variable 'q'.

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

Divide each side by '3.25rst'.
q = 0.07692307692r-1s-1t-1

Simplifying
q = 0.07692307692r-1s-1t-1

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