(X+3)(x-6)=(2x+7)(x-6)

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Solution for (X+3)(x-6)=(2x+7)(x-6) equation: 


Simplifying
(X + 3)(x + -6) = (2x + 7)(x + -6)

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

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

Multiply (3 + X) * (-6 + x)
(3(-6 + x) + X(-6 + x)) = (2x + 7)(x + -6)
((-6 * 3 + x * 3) + X(-6 + x)) = (2x + 7)(x + -6)
((-18 + 3x) + X(-6 + x)) = (2x + 7)(x + -6)
(-18 + 3x + (-6 * X + x * X)) = (2x + 7)(x + -6)
(-18 + 3x + (-6X + xX)) = (2x + 7)(x + -6)

Reorder the terms:
(-18 + -6X + 3x + xX) = (2x + 7)(x + -6)
(-18 + -6X + 3x + xX) = (2x + 7)(x + -6)

Reorder the terms:
-18 + -6X + 3x + xX = (7 + 2x)(x + -6)

Reorder the terms:
-18 + -6X + 3x + xX = (7 + 2x)(-6 + x)

Multiply (7 + 2x) * (-6 + x)
-18 + -6X + 3x + xX = (7(-6 + x) + 2x * (-6 + x))
-18 + -6X + 3x + xX = ((-6 * 7 + x * 7) + 2x * (-6 + x))
-18 + -6X + 3x + xX = ((-42 + 7x) + 2x * (-6 + x))
-18 + -6X + 3x + xX = (-42 + 7x + (-6 * 2x + x * 2x))
-18 + -6X + 3x + xX = (-42 + 7x + (-12x + 2x2))

Combine like terms: 7x + -12x = -5x
-18 + -6X + 3x + xX = (-42 + -5x + 2x2)

Solving
-18 + -6X + 3x + xX = -42 + -5x + 2x2

Solving for variable 'X'.

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

Add '18' to each side of the equation.
-18 + -6X + 3x + 18 + xX = -42 + -5x + 18 + 2x2

Reorder the terms:
-18 + 18 + -6X + 3x + xX = -42 + -5x + 18 + 2x2

Combine like terms: -18 + 18 = 0
0 + -6X + 3x + xX = -42 + -5x + 18 + 2x2
-6X + 3x + xX = -42 + -5x + 18 + 2x2

Reorder the terms:
-6X + 3x + xX = -42 + 18 + -5x + 2x2

Combine like terms: -42 + 18 = -24
-6X + 3x + xX = -24 + -5x + 2x2

Add '-3x' to each side of the equation.
-6X + 3x + -3x + xX = -24 + -5x + -3x + 2x2

Combine like terms: 3x + -3x = 0
-6X + 0 + xX = -24 + -5x + -3x + 2x2
-6X + xX = -24 + -5x + -3x + 2x2

Combine like terms: -5x + -3x = -8x
-6X + xX = -24 + -8x + 2x2

Reorder the terms:
24 + -6X + 8x + xX + -2x2 = -24 + -8x + 2x2 + 24 + 8x + -2x2

Reorder the terms:
24 + -6X + 8x + xX + -2x2 = -24 + 24 + -8x + 8x + 2x2 + -2x2

Combine like terms: -24 + 24 = 0
24 + -6X + 8x + xX + -2x2 = 0 + -8x + 8x + 2x2 + -2x2
24 + -6X + 8x + xX + -2x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
24 + -6X + 8x + xX + -2x2 = 0 + 2x2 + -2x2
24 + -6X + 8x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
24 + -6X + 8x + xX + -2x2 = 0

The solution to this equation could not be determined.

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