5*sqrt(x^2+36)=4*(20-x)

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Solution for 5*sqrt(x^2+36)=4*(20-x) equation:


Simplifying
5sqrt(x2 + 36) = 4(20 + -1x)

Reorder the terms:
5qrst(36 + x2) = 4(20 + -1x)
(36 * 5qrst + x2 * 5qrst) = 4(20 + -1x)
(180qrst + 5qrstx2) = 4(20 + -1x)
180qrst + 5qrstx2 = (20 * 4 + -1x * 4)
180qrst + 5qrstx2 = (80 + -4x)

Solving
180qrst + 5qrstx2 = 80 + -4x

Solving for variable 'q'.

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

Reorder the terms:
-80 + 180qrst + 5qrstx2 + 4x = 80 + -4x + -80 + 4x

Reorder the terms:
-80 + 180qrst + 5qrstx2 + 4x = 80 + -80 + -4x + 4x

Combine like terms: 80 + -80 = 0
-80 + 180qrst + 5qrstx2 + 4x = 0 + -4x + 4x
-80 + 180qrst + 5qrstx2 + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
-80 + 180qrst + 5qrstx2 + 4x = 0

The solution to this equation could not be determined.

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