150=x+sqrt(x(x+100))

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Solution for 150=x+sqrt(x(x+100)) equation: 


Simplifying
150 = x + sqrt(x(x + 100))

Reorder the terms:
150 = x + qrst(x(100 + x))
150 = x + qrst((100 * x + x * x))
150 = x + qrst((100x + x2))
150 = x + (100x * qrst + x2 * qrst)
150 = x + (100qrstx + qrstx2)

Reorder the terms:
150 = 100qrstx + qrstx2 + x

Solving
150 = 100qrstx + qrstx2 + x

Solving for variable 'q'.

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

Add '-100qrstx' to each side of the equation.
150 + -100qrstx = 100qrstx + qrstx2 + -100qrstx + x

Reorder the terms:
150 + -100qrstx = 100qrstx + -100qrstx + qrstx2 + x

Combine like terms: 100qrstx + -100qrstx = 0
150 + -100qrstx = 0 + qrstx2 + x
150 + -100qrstx = qrstx2 + x

Add '-1qrstx2' to each side of the equation.
150 + -100qrstx + -1qrstx2 = qrstx2 + -1qrstx2 + x

Combine like terms: qrstx2 + -1qrstx2 = 0
150 + -100qrstx + -1qrstx2 = 0 + x
150 + -100qrstx + -1qrstx2 = x

Add '-150' to each side of the equation.
150 + -100qrstx + -150 + -1qrstx2 = -150 + x

Reorder the terms:
150 + -150 + -100qrstx + -1qrstx2 = -150 + x

Combine like terms: 150 + -150 = 0
0 + -100qrstx + -1qrstx2 = -150 + x
-100qrstx + -1qrstx2 = -150 + x

Reorder the terms:
150 + -100qrstx + -1qrstx2 + -1x = -150 + x + 150 + -1x

Reorder the terms:
150 + -100qrstx + -1qrstx2 + -1x = -150 + 150 + x + -1x

Combine like terms: -150 + 150 = 0
150 + -100qrstx + -1qrstx2 + -1x = 0 + x + -1x
150 + -100qrstx + -1qrstx2 + -1x = x + -1x

Combine like terms: x + -1x = 0
150 + -100qrstx + -1qrstx2 + -1x = 0

The solution to this equation could not be determined.

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