x+sqrt(x)*sqrt(2x-4)=5

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


Simplifying
x + sqrt(x) * sqrt(2x + -4) = 5

Reorder the terms:
x + qrst * x * qrst(-4 + 2x) = 5

Multiply qrst * x
x + qrstx * qrst(-4 + 2x) = 5

Multiply qrstx * qrst
x + q2r2s2t2x(-4 + 2x) = 5
x + (-4 * q2r2s2t2x + 2x * q2r2s2t2x) = 5
x + (-4q2r2s2t2x + 2q2r2s2t2x2) = 5

Reorder the terms:
-4q2r2s2t2x + 2q2r2s2t2x2 + x = 5

Solving
-4q2r2s2t2x + 2q2r2s2t2x2 + x = 5

Solving for variable 'q'.

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

Add '-1x' to each side of the equation.
-4q2r2s2t2x + 2q2r2s2t2x2 + x + -1x = 5 + -1x

Combine like terms: x + -1x = 0
-4q2r2s2t2x + 2q2r2s2t2x2 + 0 = 5 + -1x
-4q2r2s2t2x + 2q2r2s2t2x2 = 5 + -1x

Reorder the terms:
-5 + -4q2r2s2t2x + 2q2r2s2t2x2 + x = 5 + -1x + -5 + x

Reorder the terms:
-5 + -4q2r2s2t2x + 2q2r2s2t2x2 + x = 5 + -5 + -1x + x

Combine like terms: 5 + -5 = 0
-5 + -4q2r2s2t2x + 2q2r2s2t2x2 + x = 0 + -1x + x
-5 + -4q2r2s2t2x + 2q2r2s2t2x2 + x = -1x + x

Combine like terms: -1x + x = 0
-5 + -4q2r2s2t2x + 2q2r2s2t2x2 + x = 0

The solution to this equation could not be determined.

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