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

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


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

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

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

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

Reorder the terms:
(-6 + -3X + 2x + xX) = 2x(x + -4)
(-6 + -3X + 2x + xX) = 2x(x + -4)

Reorder the terms:
-6 + -3X + 2x + xX = 2x(-4 + x)
-6 + -3X + 2x + xX = (-4 * 2x + x * 2x)
-6 + -3X + 2x + xX = (-8x + 2x2)

Solving
-6 + -3X + 2x + xX = -8x + 2x2

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + -3X + 2x + 6 + xX = -8x + 6 + 2x2

Reorder the terms:
-6 + 6 + -3X + 2x + xX = -8x + 6 + 2x2

Combine like terms: -6 + 6 = 0
0 + -3X + 2x + xX = -8x + 6 + 2x2
-3X + 2x + xX = -8x + 6 + 2x2

Reorder the terms:
-3X + 2x + xX = 6 + -8x + 2x2

Add '-2x' to each side of the equation.
-3X + 2x + -2x + xX = 6 + -8x + -2x + 2x2

Combine like terms: 2x + -2x = 0
-3X + 0 + xX = 6 + -8x + -2x + 2x2
-3X + xX = 6 + -8x + -2x + 2x2

Combine like terms: -8x + -2x = -10x
-3X + xX = 6 + -10x + 2x2

Reorder the terms:
-6 + -3X + 10x + xX + -2x2 = 6 + -10x + 2x2 + -6 + 10x + -2x2

Reorder the terms:
-6 + -3X + 10x + xX + -2x2 = 6 + -6 + -10x + 10x + 2x2 + -2x2

Combine like terms: 6 + -6 = 0
-6 + -3X + 10x + xX + -2x2 = 0 + -10x + 10x + 2x2 + -2x2
-6 + -3X + 10x + xX + -2x2 = -10x + 10x + 2x2 + -2x2

Combine like terms: -10x + 10x = 0
-6 + -3X + 10x + xX + -2x2 = 0 + 2x2 + -2x2
-6 + -3X + 10x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + -3X + 10x + xX + -2x2 = 0

The solution to this equation could not be determined.

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