2x^2=(X+2)(X+2+2x+5)

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Solution for 2x^2=(X+2)(X+2+2x+5) equation: 


Simplifying
2x2 = (X + 2)(X + 2 + 2x + 5)

Reorder the terms:
2x2 = (2 + X)(X + 2 + 2x + 5)

Reorder the terms:
2x2 = (2 + X)(2 + 5 + X + 2x)

Combine like terms: 2 + 5 = 7
2x2 = (2 + X)(7 + X + 2x)

Multiply (2 + X) * (7 + X + 2x)
2x2 = (2(7 + X + 2x) + X(7 + X + 2x))
2x2 = ((7 * 2 + X * 2 + 2x * 2) + X(7 + X + 2x))
2x2 = ((14 + 2X + 4x) + X(7 + X + 2x))
2x2 = (14 + 2X + 4x + (7 * X + X * X + 2x * X))
2x2 = (14 + 2X + 4x + (7X + X2 + 2xX))

Reorder the terms:
2x2 = (14 + 2X + 7X + X2 + 4x + 2xX)

Combine like terms: 2X + 7X = 9X
2x2 = (14 + 9X + X2 + 4x + 2xX)

Solving
2x2 = 14 + 9X + X2 + 4x + 2xX

Solving for variable 'x'.

Reorder the terms:
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 14 + 9X + X2 + 4x + 2xX + -14 + -9X + -1X2 + -4x + -2xX

Reorder the terms:
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 14 + -14 + 9X + -9X + X2 + -1X2 + 4x + -4x + 2xX + -2xX

Combine like terms: 14 + -14 = 0
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 0 + 9X + -9X + X2 + -1X2 + 4x + -4x + 2xX + -2xX
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 9X + -9X + X2 + -1X2 + 4x + -4x + 2xX + -2xX

Combine like terms: 9X + -9X = 0
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 0 + X2 + -1X2 + 4x + -4x + 2xX + -2xX
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = X2 + -1X2 + 4x + -4x + 2xX + -2xX

Combine like terms: X2 + -1X2 = 0
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 0 + 4x + -4x + 2xX + -2xX
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 4x + -4x + 2xX + -2xX

Combine like terms: 4x + -4x = 0
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 0 + 2xX + -2xX
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 2xX + -2xX

Combine like terms: 2xX + -2xX = 0
-14 + -9X + -1X2 + -4x + -2xX + 2x2 = 0

The solution to this equation could not be determined.

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