(X+3)(x-2)=x(x-7)

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Solution for (X+3)(x-2)=x(x-7) equation: 


Simplifying
(X + 3)(x + -2) = x(x + -7)

Reorder the terms:
(3 + X)(x + -2) = x(x + -7)

Reorder the terms:
(3 + X)(-2 + x) = x(x + -7)

Multiply (3 + X) * (-2 + x)
(3(-2 + x) + X(-2 + x)) = x(x + -7)
((-2 * 3 + x * 3) + X(-2 + x)) = x(x + -7)
((-6 + 3x) + X(-2 + x)) = x(x + -7)
(-6 + 3x + (-2 * X + x * X)) = x(x + -7)
(-6 + 3x + (-2X + xX)) = x(x + -7)

Reorder the terms:
(-6 + -2X + 3x + xX) = x(x + -7)
(-6 + -2X + 3x + xX) = x(x + -7)

Reorder the terms:
-6 + -2X + 3x + xX = x(-7 + x)
-6 + -2X + 3x + xX = (-7 * x + x * x)
-6 + -2X + 3x + xX = (-7x + x2)

Solving
-6 + -2X + 3x + xX = -7x + x2

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 + -2X + 3x + 6 + xX = -7x + 6 + x2

Reorder the terms:
-6 + 6 + -2X + 3x + xX = -7x + 6 + x2

Combine like terms: -6 + 6 = 0
0 + -2X + 3x + xX = -7x + 6 + x2
-2X + 3x + xX = -7x + 6 + x2

Reorder the terms:
-2X + 3x + xX = 6 + -7x + x2

Add '-3x' to each side of the equation.
-2X + 3x + -3x + xX = 6 + -7x + -3x + x2

Combine like terms: 3x + -3x = 0
-2X + 0 + xX = 6 + -7x + -3x + x2
-2X + xX = 6 + -7x + -3x + x2

Combine like terms: -7x + -3x = -10x
-2X + xX = 6 + -10x + x2

Reorder the terms:
-6 + -2X + 10x + xX + -1x2 = 6 + -10x + x2 + -6 + 10x + -1x2

Reorder the terms:
-6 + -2X + 10x + xX + -1x2 = 6 + -6 + -10x + 10x + x2 + -1x2

Combine like terms: 6 + -6 = 0
-6 + -2X + 10x + xX + -1x2 = 0 + -10x + 10x + x2 + -1x2
-6 + -2X + 10x + xX + -1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
-6 + -2X + 10x + xX + -1x2 = 0 + x2 + -1x2
-6 + -2X + 10x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -2X + 10x + xX + -1x2 = 0

The solution to this equation could not be determined.

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