x^2-3x-2=(x-1)sqrt(2x+1)

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Solution for x^2-3x-2=(x-1)sqrt(2x+1) equation:


Simplifying
x2 + -3x + -2 = (x + -1) * sqrt(2x + 1)

Reorder the terms:
-2 + -3x + x2 = (x + -1) * sqrt(2x + 1)

Reorder the terms:
-2 + -3x + x2 = (-1 + x) * sqrt(2x + 1)

Reorder the terms:
-2 + -3x + x2 = (-1 + x) * qrst(1 + 2x)

Reorder the terms for easier multiplication:
-2 + -3x + x2 = qrst(-1 + x)(1 + 2x)

Multiply (-1 + x) * (1 + 2x)
-2 + -3x + x2 = qrst(-1(1 + 2x) + x(1 + 2x))
-2 + -3x + x2 = qrst((1 * -1 + 2x * -1) + x(1 + 2x))
-2 + -3x + x2 = qrst((-1 + -2x) + x(1 + 2x))
-2 + -3x + x2 = qrst(-1 + -2x + (1 * x + 2x * x))
-2 + -3x + x2 = qrst(-1 + -2x + (1x + 2x2))

Combine like terms: -2x + 1x = -1x
-2 + -3x + x2 = qrst(-1 + -1x + 2x2)
-2 + -3x + x2 = (-1 * qrst + -1x * qrst + 2x2 * qrst)
-2 + -3x + x2 = (-1qrst + -1qrstx + 2qrstx2)

Solving
-2 + -3x + x2 = -1qrst + -1qrstx + 2qrstx2

Solving for variable 'x'.

Reorder the terms:
-2 + qrst + qrstx + -2qrstx2 + -3x + x2 = -1qrst + -1qrstx + 2qrstx2 + qrst + qrstx + -2qrstx2

Reorder the terms:
-2 + qrst + qrstx + -2qrstx2 + -3x + x2 = -1qrst + qrst + -1qrstx + qrstx + 2qrstx2 + -2qrstx2

Combine like terms: -1qrst + qrst = 0
-2 + qrst + qrstx + -2qrstx2 + -3x + x2 = 0 + -1qrstx + qrstx + 2qrstx2 + -2qrstx2
-2 + qrst + qrstx + -2qrstx2 + -3x + x2 = -1qrstx + qrstx + 2qrstx2 + -2qrstx2

Combine like terms: -1qrstx + qrstx = 0
-2 + qrst + qrstx + -2qrstx2 + -3x + x2 = 0 + 2qrstx2 + -2qrstx2
-2 + qrst + qrstx + -2qrstx2 + -3x + x2 = 2qrstx2 + -2qrstx2

Combine like terms: 2qrstx2 + -2qrstx2 = 0
-2 + qrst + qrstx + -2qrstx2 + -3x + x2 = 0

The solution to this equation could not be determined.

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