sqrt(x+13)-sqrt(x-2)=3

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Solution for sqrt(x+13)-sqrt(x-2)=3 equation:


Simplifying
sqrt(x + 13) + -1sqrt(x + -2) = 3

Reorder the terms:
qrst(13 + x) + -1sqrt(x + -2) = 3
(13 * qrst + x * qrst) + -1sqrt(x + -2) = 3
(13qrst + qrstx) + -1sqrt(x + -2) = 3

Reorder the terms:
13qrst + qrstx + -1qrst(-2 + x) = 3
13qrst + qrstx + (-2 * -1qrst + x * -1qrst) = 3
13qrst + qrstx + (2qrst + -1qrstx) = 3

Reorder the terms:
13qrst + 2qrst + qrstx + -1qrstx = 3

Combine like terms: 13qrst + 2qrst = 15qrst
15qrst + qrstx + -1qrstx = 3

Combine like terms: qrstx + -1qrstx = 0
15qrst + 0 = 3
15qrst = 3

Solving
15qrst = 3

Solving for variable 'q'.

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

Divide each side by '15rst'.
q = 0.2r-1s-1t-1

Simplifying
q = 0.2r-1s-1t-1

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