(X+4)(x-3)=(x+1)(x-2)

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Solution for (X+4)(x-3)=(x+1)(x-2) equation: 


Simplifying
(X + 4)(x + -3) = (x + 1)(x + -2)

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

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

Multiply (4 + X) * (-3 + x)
(4(-3 + x) + X(-3 + x)) = (x + 1)(x + -2)
((-3 * 4 + x * 4) + X(-3 + x)) = (x + 1)(x + -2)
((-12 + 4x) + X(-3 + x)) = (x + 1)(x + -2)
(-12 + 4x + (-3 * X + x * X)) = (x + 1)(x + -2)
(-12 + 4x + (-3X + xX)) = (x + 1)(x + -2)

Reorder the terms:
(-12 + -3X + 4x + xX) = (x + 1)(x + -2)
(-12 + -3X + 4x + xX) = (x + 1)(x + -2)

Reorder the terms:
-12 + -3X + 4x + xX = (1 + x)(x + -2)

Reorder the terms:
-12 + -3X + 4x + xX = (1 + x)(-2 + x)

Multiply (1 + x) * (-2 + x)
-12 + -3X + 4x + xX = (1(-2 + x) + x(-2 + x))
-12 + -3X + 4x + xX = ((-2 * 1 + x * 1) + x(-2 + x))
-12 + -3X + 4x + xX = ((-2 + 1x) + x(-2 + x))
-12 + -3X + 4x + xX = (-2 + 1x + (-2 * x + x * x))
-12 + -3X + 4x + xX = (-2 + 1x + (-2x + x2))

Combine like terms: 1x + -2x = -1x
-12 + -3X + 4x + xX = (-2 + -1x + x2)

Solving
-12 + -3X + 4x + xX = -2 + -1x + x2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + -3X + 4x + 12 + xX = -2 + -1x + 12 + x2

Reorder the terms:
-12 + 12 + -3X + 4x + xX = -2 + -1x + 12 + x2

Combine like terms: -12 + 12 = 0
0 + -3X + 4x + xX = -2 + -1x + 12 + x2
-3X + 4x + xX = -2 + -1x + 12 + x2

Reorder the terms:
-3X + 4x + xX = -2 + 12 + -1x + x2

Combine like terms: -2 + 12 = 10
-3X + 4x + xX = 10 + -1x + x2

Add '-4x' to each side of the equation.
-3X + 4x + -4x + xX = 10 + -1x + -4x + x2

Combine like terms: 4x + -4x = 0
-3X + 0 + xX = 10 + -1x + -4x + x2
-3X + xX = 10 + -1x + -4x + x2

Combine like terms: -1x + -4x = -5x
-3X + xX = 10 + -5x + x2

Reorder the terms:
-10 + -3X + 5x + xX + -1x2 = 10 + -5x + x2 + -10 + 5x + -1x2

Reorder the terms:
-10 + -3X + 5x + xX + -1x2 = 10 + -10 + -5x + 5x + x2 + -1x2

Combine like terms: 10 + -10 = 0
-10 + -3X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2
-10 + -3X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-10 + -3X + 5x + xX + -1x2 = 0 + x2 + -1x2
-10 + -3X + 5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -3X + 5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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