x^2+10=x(2(sqrt(3x+10))-3)

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Solution for x^2+10=x(2(sqrt(3x+10))-3) equation:


Simplifying
x2 + 10 = x(2(sqrt(3x + 10)) + -3)

Reorder the terms:
10 + x2 = x(2(sqrt(3x + 10)) + -3)

Reorder the terms:
10 + x2 = x(2(qrst(10 + 3x)) + -3)
10 + x2 = x(2((10 * qrst + 3x * qrst)) + -3)
10 + x2 = x(2((10qrst + 3qrstx)) + -3)
10 + x2 = x((10qrst * 2 + 3qrstx * 2) + -3)
10 + x2 = x((20qrst + 6qrstx) + -3)

Reorder the terms:
10 + x2 = x(-3 + 20qrst + 6qrstx)
10 + x2 = (-3 * x + 20qrst * x + 6qrstx * x)

Reorder the terms:
10 + x2 = (20qrstx + 6qrstx2 + -3x)
10 + x2 = (20qrstx + 6qrstx2 + -3x)

Solving
10 + x2 = 20qrstx + 6qrstx2 + -3x

Solving for variable 'x'.

Reorder the terms:
10 + -20qrstx + -6qrstx2 + 3x + x2 = 20qrstx + 6qrstx2 + -3x + -20qrstx + -6qrstx2 + 3x

Reorder the terms:
10 + -20qrstx + -6qrstx2 + 3x + x2 = 20qrstx + -20qrstx + 6qrstx2 + -6qrstx2 + -3x + 3x

Combine like terms: 20qrstx + -20qrstx = 0
10 + -20qrstx + -6qrstx2 + 3x + x2 = 0 + 6qrstx2 + -6qrstx2 + -3x + 3x
10 + -20qrstx + -6qrstx2 + 3x + x2 = 6qrstx2 + -6qrstx2 + -3x + 3x

Combine like terms: 6qrstx2 + -6qrstx2 = 0
10 + -20qrstx + -6qrstx2 + 3x + x2 = 0 + -3x + 3x
10 + -20qrstx + -6qrstx2 + 3x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -20qrstx + -6qrstx2 + 3x + x2 = 0

The solution to this equation could not be determined.

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