3X(x+2)-(x+2)(x-9)=x

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Solution for 3X(x+2)-(x+2)(x-9)=x equation: 


Simplifying
3X(x + 2) + -1(x + 2)(x + -9) = x

Reorder the terms:
3X(2 + x) + -1(x + 2)(x + -9) = x
(2 * 3X + x * 3X) + -1(x + 2)(x + -9) = x
(6X + 3xX) + -1(x + 2)(x + -9) = x

Reorder the terms:
6X + 3xX + -1(2 + x)(x + -9) = x

Reorder the terms:
6X + 3xX + -1(2 + x)(-9 + x) = x

Multiply (2 + x) * (-9 + x)
6X + 3xX + -1(2(-9 + x) + x(-9 + x)) = x
6X + 3xX + -1((-9 * 2 + x * 2) + x(-9 + x)) = x
6X + 3xX + -1((-18 + 2x) + x(-9 + x)) = x
6X + 3xX + -1(-18 + 2x + (-9 * x + x * x)) = x
6X + 3xX + -1(-18 + 2x + (-9x + x2)) = x

Combine like terms: 2x + -9x = -7x
6X + 3xX + -1(-18 + -7x + x2) = x
6X + 3xX + (-18 * -1 + -7x * -1 + x2 * -1) = x
6X + 3xX + (18 + 7x + -1x2) = x

Reorder the terms:
18 + 6X + 7x + 3xX + -1x2 = x

Solving
18 + 6X + 7x + 3xX + -1x2 = x

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 + 7x + 3xX + -18 + -1x2 = -18 + x

Reorder the terms:
18 + -18 + 6X + 7x + 3xX + -1x2 = -18 + x

Combine like terms: 18 + -18 = 0
0 + 6X + 7x + 3xX + -1x2 = -18 + x
6X + 7x + 3xX + -1x2 = -18 + x

Add '-7x' to each side of the equation.
6X + 7x + 3xX + -7x + -1x2 = -18 + x + -7x

Reorder the terms:
6X + 7x + -7x + 3xX + -1x2 = -18 + x + -7x

Combine like terms: 7x + -7x = 0
6X + 0 + 3xX + -1x2 = -18 + x + -7x
6X + 3xX + -1x2 = -18 + x + -7x

Combine like terms: x + -7x = -6x
6X + 3xX + -1x2 = -18 + -6x

Add 'x2' to each side of the equation.
6X + 3xX + -1x2 + x2 = -18 + -6x + x2

Combine like terms: -1x2 + x2 = 0
6X + 3xX + 0 = -18 + -6x + x2
6X + 3xX = -18 + -6x + x2

Reorder the terms:
18 + 6X + 6x + 3xX + -1x2 = -18 + -6x + x2 + 18 + 6x + -1x2

Reorder the terms:
18 + 6X + 6x + 3xX + -1x2 = -18 + 18 + -6x + 6x + x2 + -1x2

Combine like terms: -18 + 18 = 0
18 + 6X + 6x + 3xX + -1x2 = 0 + -6x + 6x + x2 + -1x2
18 + 6X + 6x + 3xX + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
18 + 6X + 6x + 3xX + -1x2 = 0 + x2 + -1x2
18 + 6X + 6x + 3xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + 6X + 6x + 3xX + -1x2 = 0

The solution to this equation could not be determined.

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