2+sqrt(10-x)=sqrt(22-x)

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Solution for 2+sqrt(10-x)=sqrt(22-x) equation:


Simplifying
2 + sqrt(10 + -1x) = sqrt(22 + -1x)
2 + (10 * qrst + -1x * qrst) = sqrt(22 + -1x)
2 + (10qrst + -1qrstx) = sqrt(22 + -1x)
2 + 10qrst + -1qrstx = (22 * qrst + -1x * qrst)
2 + 10qrst + -1qrstx = (22qrst + -1qrstx)

Add 'qrstx' to each side of the equation.
2 + 10qrst + -1qrstx + qrstx = 22qrst + -1qrstx + qrstx

Combine like terms: -1qrstx + qrstx = 0
2 + 10qrst + 0 = 22qrst + -1qrstx + qrstx
2 + 10qrst = 22qrst + -1qrstx + qrstx

Combine like terms: -1qrstx + qrstx = 0
2 + 10qrst = 22qrst + 0
2 + 10qrst = 22qrst

Solving
2 + 10qrst = 22qrst

Solving for variable 'q'.

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

Add '-22qrst' to each side of the equation.
2 + 10qrst + -22qrst = 22qrst + -22qrst

Combine like terms: 10qrst + -22qrst = -12qrst
2 + -12qrst = 22qrst + -22qrst

Combine like terms: 22qrst + -22qrst = 0
2 + -12qrst = 0

Add '-2' to each side of the equation.
2 + -2 + -12qrst = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -12qrst = 0 + -2
-12qrst = 0 + -2

Combine like terms: 0 + -2 = -2
-12qrst = -2

Divide each side by '-12rst'.
q = 0.1666666667r-1s-1t-1

Simplifying
q = 0.1666666667r-1s-1t-1

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