(X+4)(x-2)=(2x+5)(x-2)

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Solution for (X+4)(x-2)=(2x+5)(x-2) equation: 


Simplifying
(X + 4)(x + -2) = (2x + 5)(x + -2)

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

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

Multiply (4 + X) * (-2 + x)
(4(-2 + x) + X(-2 + x)) = (2x + 5)(x + -2)
((-2 * 4 + x * 4) + X(-2 + x)) = (2x + 5)(x + -2)
((-8 + 4x) + X(-2 + x)) = (2x + 5)(x + -2)
(-8 + 4x + (-2 * X + x * X)) = (2x + 5)(x + -2)
(-8 + 4x + (-2X + xX)) = (2x + 5)(x + -2)

Reorder the terms:
(-8 + -2X + 4x + xX) = (2x + 5)(x + -2)
(-8 + -2X + 4x + xX) = (2x + 5)(x + -2)

Reorder the terms:
-8 + -2X + 4x + xX = (5 + 2x)(x + -2)

Reorder the terms:
-8 + -2X + 4x + xX = (5 + 2x)(-2 + x)

Multiply (5 + 2x) * (-2 + x)
-8 + -2X + 4x + xX = (5(-2 + x) + 2x * (-2 + x))
-8 + -2X + 4x + xX = ((-2 * 5 + x * 5) + 2x * (-2 + x))
-8 + -2X + 4x + xX = ((-10 + 5x) + 2x * (-2 + x))
-8 + -2X + 4x + xX = (-10 + 5x + (-2 * 2x + x * 2x))
-8 + -2X + 4x + xX = (-10 + 5x + (-4x + 2x2))

Combine like terms: 5x + -4x = 1x
-8 + -2X + 4x + xX = (-10 + 1x + 2x2)

Solving
-8 + -2X + 4x + xX = -10 + 1x + 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 = -10 + 1x + 8 + 2x2

Reorder the terms:
-8 + 8 + -2X + 4x + xX = -10 + 1x + 8 + 2x2

Combine like terms: -8 + 8 = 0
0 + -2X + 4x + xX = -10 + 1x + 8 + 2x2
-2X + 4x + xX = -10 + 1x + 8 + 2x2

Reorder the terms:
-2X + 4x + xX = -10 + 8 + 1x + 2x2

Combine like terms: -10 + 8 = -2
-2X + 4x + xX = -2 + 1x + 2x2

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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