(X+2)(x^2-2x+4)-x(x-3)(x+3)=26

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Solution for (X+2)(x^2-2x+4)-x(x-3)(x+3)=26 equation: 


Simplifying
(X + 2)(x2 + -2x + 4) + -1x(x + -3)(x + 3) = 26

Reorder the terms:
(2 + X)(x2 + -2x + 4) + -1x(x + -3)(x + 3) = 26

Reorder the terms:
(2 + X)(4 + -2x + x2) + -1x(x + -3)(x + 3) = 26

Multiply (2 + X) * (4 + -2x + x2)
(2(4 + -2x + x2) + X(4 + -2x + x2)) + -1x(x + -3)(x + 3) = 26
((4 * 2 + -2x * 2 + x2 * 2) + X(4 + -2x + x2)) + -1x(x + -3)(x + 3) = 26
((8 + -4x + 2x2) + X(4 + -2x + x2)) + -1x(x + -3)(x + 3) = 26
(8 + -4x + 2x2 + (4 * X + -2x * X + x2 * X)) + -1x(x + -3)(x + 3) = 26
(8 + -4x + 2x2 + (4X + -2xX + x2X)) + -1x(x + -3)(x + 3) = 26

Reorder the terms:
(8 + 4X + -4x + -2xX + 2x2 + x2X) + -1x(x + -3)(x + 3) = 26
(8 + 4X + -4x + -2xX + 2x2 + x2X) + -1x(x + -3)(x + 3) = 26

Reorder the terms:
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x(-3 + x)(x + 3) = 26

Reorder the terms:
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x(-3 + x)(3 + x) = 26

Multiply (-3 + x) * (3 + x)
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x(-3(3 + x) + x(3 + x)) = 26
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x((3 * -3 + x * -3) + x(3 + x)) = 26
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x((-9 + -3x) + x(3 + x)) = 26
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x(-9 + -3x + (3 * x + x * x)) = 26
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x(-9 + -3x + (3x + x2)) = 26

Combine like terms: -3x + 3x = 0
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x(-9 + 0 + x2) = 26
8 + 4X + -4x + -2xX + 2x2 + x2X + -1x(-9 + x2) = 26
8 + 4X + -4x + -2xX + 2x2 + x2X + (-9 * -1x + x2 * -1x) = 26
8 + 4X + -4x + -2xX + 2x2 + x2X + (9x + -1x3) = 26

Reorder the terms:
8 + 4X + -4x + 9x + -2xX + 2x2 + x2X + -1x3 = 26

Combine like terms: -4x + 9x = 5x
8 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 26

Solving
8 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 26

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + 4X + 5x + -2xX + 2x2 + x2X + -8 + -1x3 = 26 + -8

Reorder the terms:
8 + -8 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 26 + -8

Combine like terms: 8 + -8 = 0
0 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 26 + -8
4X + 5x + -2xX + 2x2 + x2X + -1x3 = 26 + -8

Combine like terms: 26 + -8 = 18
4X + 5x + -2xX + 2x2 + x2X + -1x3 = 18

Add '-5x' to each side of the equation.
4X + 5x + -2xX + 2x2 + x2X + -5x + -1x3 = 18 + -5x

Reorder the terms:
4X + 5x + -5x + -2xX + 2x2 + x2X + -1x3 = 18 + -5x

Combine like terms: 5x + -5x = 0
4X + 0 + -2xX + 2x2 + x2X + -1x3 = 18 + -5x
4X + -2xX + 2x2 + x2X + -1x3 = 18 + -5x

Add '-2x2' to each side of the equation.
4X + -2xX + 2x2 + x2X + -2x2 + -1x3 = 18 + -5x + -2x2

Reorder the terms:
4X + -2xX + 2x2 + -2x2 + x2X + -1x3 = 18 + -5x + -2x2

Combine like terms: 2x2 + -2x2 = 0
4X + -2xX + 0 + x2X + -1x3 = 18 + -5x + -2x2
4X + -2xX + x2X + -1x3 = 18 + -5x + -2x2

Add 'x3' to each side of the equation.
4X + -2xX + x2X + -1x3 + x3 = 18 + -5x + -2x2 + x3

Combine like terms: -1x3 + x3 = 0
4X + -2xX + x2X + 0 = 18 + -5x + -2x2 + x3
4X + -2xX + x2X = 18 + -5x + -2x2 + x3

Reorder the terms:
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 18 + -5x + -2x2 + x3 + -18 + 5x + 2x2 + -1x3

Reorder the terms:
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 18 + -18 + -5x + 5x + -2x2 + 2x2 + x3 + -1x3

Combine like terms: 18 + -18 = 0
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 0 + -5x + 5x + -2x2 + 2x2 + x3 + -1x3
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = -5x + 5x + -2x2 + 2x2 + x3 + -1x3

Combine like terms: -5x + 5x = 0
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 0 + -2x2 + 2x2 + x3 + -1x3
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = -2x2 + 2x2 + x3 + -1x3

Combine like terms: -2x2 + 2x2 = 0
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 0 + x3 + -1x3
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-18 + 4X + 5x + -2xX + 2x2 + x2X + -1x3 = 0

The solution to this equation could not be determined.

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