2x^2+x=(X-4)(X-2)

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Solution for 2x^2+x=(X-4)(X-2) equation: 


Simplifying
2x2 + x = (X + -4)(X + -2)

Reorder the terms:
x + 2x2 = (X + -4)(X + -2)

Reorder the terms:
x + 2x2 = (-4 + X)(X + -2)

Reorder the terms:
x + 2x2 = (-4 + X)(-2 + X)

Multiply (-4 + X) * (-2 + X)
x + 2x2 = (-4(-2 + X) + X(-2 + X))
x + 2x2 = ((-2 * -4 + X * -4) + X(-2 + X))
x + 2x2 = ((8 + -4X) + X(-2 + X))
x + 2x2 = (8 + -4X + (-2 * X + X * X))
x + 2x2 = (8 + -4X + (-2X + X2))

Combine like terms: -4X + -2X = -6X
x + 2x2 = (8 + -6X + X2)

Solving
x + 2x2 = 8 + -6X + X2

Solving for variable 'x'.

Reorder the terms:
-8 + 6X + -1X2 + x + 2x2 = 8 + -6X + X2 + -8 + 6X + -1X2

Reorder the terms:
-8 + 6X + -1X2 + x + 2x2 = 8 + -8 + -6X + 6X + X2 + -1X2

Combine like terms: 8 + -8 = 0
-8 + 6X + -1X2 + x + 2x2 = 0 + -6X + 6X + X2 + -1X2
-8 + 6X + -1X2 + x + 2x2 = -6X + 6X + X2 + -1X2

Combine like terms: -6X + 6X = 0
-8 + 6X + -1X2 + x + 2x2 = 0 + X2 + -1X2
-8 + 6X + -1X2 + x + 2x2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-8 + 6X + -1X2 + x + 2x2 = 0

The solution to this equation could not be determined.

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