(2x+3)(x-2)=(X+1)(x-6)

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Solution for (2x+3)(x-2)=(X+1)(x-6) equation: 


Simplifying
(2x + 3)(x + -2) = (X + 1)(x + -6)

Reorder the terms:
(3 + 2x)(x + -2) = (X + 1)(x + -6)

Reorder the terms:
(3 + 2x)(-2 + x) = (X + 1)(x + -6)

Multiply (3 + 2x) * (-2 + x)
(3(-2 + x) + 2x * (-2 + x)) = (X + 1)(x + -6)
((-2 * 3 + x * 3) + 2x * (-2 + x)) = (X + 1)(x + -6)
((-6 + 3x) + 2x * (-2 + x)) = (X + 1)(x + -6)
(-6 + 3x + (-2 * 2x + x * 2x)) = (X + 1)(x + -6)
(-6 + 3x + (-4x + 2x2)) = (X + 1)(x + -6)

Combine like terms: 3x + -4x = -1x
(-6 + -1x + 2x2) = (X + 1)(x + -6)

Reorder the terms:
-6 + -1x + 2x2 = (1 + X)(x + -6)

Reorder the terms:
-6 + -1x + 2x2 = (1 + X)(-6 + x)

Multiply (1 + X) * (-6 + x)
-6 + -1x + 2x2 = (1(-6 + x) + X(-6 + x))
-6 + -1x + 2x2 = ((-6 * 1 + x * 1) + X(-6 + x))
-6 + -1x + 2x2 = ((-6 + 1x) + X(-6 + x))
-6 + -1x + 2x2 = (-6 + 1x + (-6 * X + x * X))
-6 + -1x + 2x2 = (-6 + 1x + (-6X + xX))

Reorder the terms:
-6 + -1x + 2x2 = (-6 + -6X + 1x + xX)
-6 + -1x + 2x2 = (-6 + -6X + 1x + xX)

Add '6' to each side of the equation.
-6 + -1x + 6 + 2x2 = -6 + -6X + 1x + 6 + xX

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

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

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

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

Solving
-1x + 2x2 = -6X + 1x + xX

Solving for variable 'x'.

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

Combine like terms: -1x + -1x = -2x
6X + -2x + -1xX + 2x2 = -6X + 1x + xX + 6X + -1x + -1xX

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

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

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

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

The solution to this equation could not be determined.

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