(X+7)(x-6)=(2x+9)(x-6)

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Solution for (X+7)(x-6)=(2x+9)(x-6) equation: 


Simplifying
(X + 7)(x + -6) = (2x + 9)(x + -6)

Reorder the terms:
(7 + X)(x + -6) = (2x + 9)(x + -6)

Reorder the terms:
(7 + X)(-6 + x) = (2x + 9)(x + -6)

Multiply (7 + X) * (-6 + x)
(7(-6 + x) + X(-6 + x)) = (2x + 9)(x + -6)
((-6 * 7 + x * 7) + X(-6 + x)) = (2x + 9)(x + -6)
((-42 + 7x) + X(-6 + x)) = (2x + 9)(x + -6)
(-42 + 7x + (-6 * X + x * X)) = (2x + 9)(x + -6)
(-42 + 7x + (-6X + xX)) = (2x + 9)(x + -6)

Reorder the terms:
(-42 + -6X + 7x + xX) = (2x + 9)(x + -6)
(-42 + -6X + 7x + xX) = (2x + 9)(x + -6)

Reorder the terms:
-42 + -6X + 7x + xX = (9 + 2x)(x + -6)

Reorder the terms:
-42 + -6X + 7x + xX = (9 + 2x)(-6 + x)

Multiply (9 + 2x) * (-6 + x)
-42 + -6X + 7x + xX = (9(-6 + x) + 2x * (-6 + x))
-42 + -6X + 7x + xX = ((-6 * 9 + x * 9) + 2x * (-6 + x))
-42 + -6X + 7x + xX = ((-54 + 9x) + 2x * (-6 + x))
-42 + -6X + 7x + xX = (-54 + 9x + (-6 * 2x + x * 2x))
-42 + -6X + 7x + xX = (-54 + 9x + (-12x + 2x2))

Combine like terms: 9x + -12x = -3x
-42 + -6X + 7x + xX = (-54 + -3x + 2x2)

Solving
-42 + -6X + 7x + xX = -54 + -3x + 2x2

Solving for variable 'X'.

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

Add '42' to each side of the equation.
-42 + -6X + 7x + 42 + xX = -54 + -3x + 42 + 2x2

Reorder the terms:
-42 + 42 + -6X + 7x + xX = -54 + -3x + 42 + 2x2

Combine like terms: -42 + 42 = 0
0 + -6X + 7x + xX = -54 + -3x + 42 + 2x2
-6X + 7x + xX = -54 + -3x + 42 + 2x2

Reorder the terms:
-6X + 7x + xX = -54 + 42 + -3x + 2x2

Combine like terms: -54 + 42 = -12
-6X + 7x + xX = -12 + -3x + 2x2

Add '-7x' to each side of the equation.
-6X + 7x + -7x + xX = -12 + -3x + -7x + 2x2

Combine like terms: 7x + -7x = 0
-6X + 0 + xX = -12 + -3x + -7x + 2x2
-6X + xX = -12 + -3x + -7x + 2x2

Combine like terms: -3x + -7x = -10x
-6X + xX = -12 + -10x + 2x2

Reorder the terms:
12 + -6X + 10x + xX + -2x2 = -12 + -10x + 2x2 + 12 + 10x + -2x2

Reorder the terms:
12 + -6X + 10x + xX + -2x2 = -12 + 12 + -10x + 10x + 2x2 + -2x2

Combine like terms: -12 + 12 = 0
12 + -6X + 10x + xX + -2x2 = 0 + -10x + 10x + 2x2 + -2x2
12 + -6X + 10x + xX + -2x2 = -10x + 10x + 2x2 + -2x2

Combine like terms: -10x + 10x = 0
12 + -6X + 10x + xX + -2x2 = 0 + 2x2 + -2x2
12 + -6X + 10x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + -6X + 10x + xX + -2x2 = 0

The solution to this equation could not be determined.

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