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

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


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

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

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

Multiply (4 + X) * (-2 + x)
(4(-2 + x) + X(-2 + x)) = (2x + 3)(x + -3)
((-2 * 4 + x * 4) + X(-2 + x)) = (2x + 3)(x + -3)
((-8 + 4x) + X(-2 + x)) = (2x + 3)(x + -3)
(-8 + 4x + (-2 * X + x * X)) = (2x + 3)(x + -3)
(-8 + 4x + (-2X + xX)) = (2x + 3)(x + -3)

Reorder the terms:
(-8 + -2X + 4x + xX) = (2x + 3)(x + -3)
(-8 + -2X + 4x + xX) = (2x + 3)(x + -3)

Reorder the terms:
-8 + -2X + 4x + xX = (3 + 2x)(x + -3)

Reorder the terms:
-8 + -2X + 4x + xX = (3 + 2x)(-3 + x)

Multiply (3 + 2x) * (-3 + x)
-8 + -2X + 4x + xX = (3(-3 + x) + 2x * (-3 + x))
-8 + -2X + 4x + xX = ((-3 * 3 + x * 3) + 2x * (-3 + x))
-8 + -2X + 4x + xX = ((-9 + 3x) + 2x * (-3 + x))
-8 + -2X + 4x + xX = (-9 + 3x + (-3 * 2x + x * 2x))
-8 + -2X + 4x + xX = (-9 + 3x + (-6x + 2x2))

Combine like terms: 3x + -6x = -3x
-8 + -2X + 4x + xX = (-9 + -3x + 2x2)

Solving
-8 + -2X + 4x + xX = -9 + -3x + 2x2

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + -2X + 4x + 8 + xX = -9 + -3x + 8 + 2x2

Reorder the terms:
-8 + 8 + -2X + 4x + xX = -9 + -3x + 8 + 2x2

Combine like terms: -8 + 8 = 0
0 + -2X + 4x + xX = -9 + -3x + 8 + 2x2
-2X + 4x + xX = -9 + -3x + 8 + 2x2

Reorder the terms:
-2X + 4x + xX = -9 + 8 + -3x + 2x2

Combine like terms: -9 + 8 = -1
-2X + 4x + xX = -1 + -3x + 2x2

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

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

Combine like terms: -3x + -4x = -7x
-2X + xX = -1 + -7x + 2x2

Reorder the terms:
1 + -2X + 7x + xX + -2x2 = -1 + -7x + 2x2 + 1 + 7x + -2x2

Reorder the terms:
1 + -2X + 7x + xX + -2x2 = -1 + 1 + -7x + 7x + 2x2 + -2x2

Combine like terms: -1 + 1 = 0
1 + -2X + 7x + xX + -2x2 = 0 + -7x + 7x + 2x2 + -2x2
1 + -2X + 7x + xX + -2x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
1 + -2X + 7x + xX + -2x2 = 0 + 2x2 + -2x2
1 + -2X + 7x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1 + -2X + 7x + xX + -2x2 = 0

The solution to this equation could not be determined.

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