sqrt(6x-14)+sqrt(5-x)=sqrt(5x-9)

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Solution for sqrt(6x-14)+sqrt(5-x)=sqrt(5x-9) equation:


Simplifying
sqrt(6x + -14) + sqrt(5 + -1x) = sqrt(5x + -9)

Reorder the terms:
qrst(-14 + 6x) + sqrt(5 + -1x) = sqrt(5x + -9)
(-14 * qrst + 6x * qrst) + sqrt(5 + -1x) = sqrt(5x + -9)
(-14qrst + 6qrstx) + sqrt(5 + -1x) = sqrt(5x + -9)
-14qrst + 6qrstx + (5 * qrst + -1x * qrst) = sqrt(5x + -9)
-14qrst + 6qrstx + (5qrst + -1qrstx) = sqrt(5x + -9)

Reorder the terms:
-14qrst + 5qrst + 6qrstx + -1qrstx = sqrt(5x + -9)

Combine like terms: -14qrst + 5qrst = -9qrst
-9qrst + 6qrstx + -1qrstx = sqrt(5x + -9)

Combine like terms: 6qrstx + -1qrstx = 5qrstx
-9qrst + 5qrstx = sqrt(5x + -9)

Reorder the terms:
-9qrst + 5qrstx = qrst(-9 + 5x)
-9qrst + 5qrstx = (-9 * qrst + 5x * qrst)
-9qrst + 5qrstx = (-9qrst + 5qrstx)

Add '9qrst' to each side of the equation.
-9qrst + 9qrst + 5qrstx = -9qrst + 9qrst + 5qrstx

Combine like terms: -9qrst + 9qrst = 0
0 + 5qrstx = -9qrst + 9qrst + 5qrstx
5qrstx = -9qrst + 9qrst + 5qrstx

Combine like terms: -9qrst + 9qrst = 0
5qrstx = 0 + 5qrstx
5qrstx = 5qrstx

Add '-5qrstx' to each side of the equation.
5qrstx + -5qrstx = 5qrstx + -5qrstx

Combine like terms: 5qrstx + -5qrstx = 0
0 = 5qrstx + -5qrstx

Combine like terms: 5qrstx + -5qrstx = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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