3*sqrt(5)-sqrt(94-42*sqrt(5))=7

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Solution for 3*sqrt(5)-sqrt(94-42*sqrt(5))=7 equation:


Simplifying
3sqrt(5) + -1sqrt(94 + -42sqrt(5)) = 7

Reorder the terms for easier multiplication:
3 * 5qrst + -1sqrt(94 + -42sqrt(5)) = 7

Multiply 3 * 5
15qrst + -1sqrt(94 + -42sqrt(5)) = 7

Reorder the terms for easier multiplication:
15qrst + -1qrst(94 + -42 * 5qrst) = 7

Multiply -42 * 5
15qrst + -1qrst(94 + -210qrst) = 7
15qrst + (94 * -1qrst + -210qrst * -1qrst) = 7
15qrst + (-94qrst + 210q2r2s2t2) = 7

Combine like terms: 15qrst + -94qrst = -79qrst
-79qrst + 210q2r2s2t2 = 7

Solving
-79qrst + 210q2r2s2t2 = 7

Solving for variable 'q'.

Reorder the terms:
-7 + -79qrst + 210q2r2s2t2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -79qrst + 210q2r2s2t2 = 0

The solution to this equation could not be determined.

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