(X^2-x+8)(x^2-6-x)=120

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Solution for (X^2-x+8)(x^2-6-x)=120 equation:


Simplifying
(X2 + -1x + 8)(x2 + -6 + -1x) = 120

Reorder the terms:
(8 + X2 + -1x)(x2 + -6 + -1x) = 120

Reorder the terms:
(8 + X2 + -1x)(-6 + -1x + x2) = 120

Multiply (8 + X2 + -1x) * (-6 + -1x + x2)
(8(-6 + -1x + x2) + X2(-6 + -1x + x2) + -1x * (-6 + -1x + x2)) = 120
((-6 * 8 + -1x * 8 + x2 * 8) + X2(-6 + -1x + x2) + -1x * (-6 + -1x + x2)) = 120
((-48 + -8x + 8x2) + X2(-6 + -1x + x2) + -1x * (-6 + -1x + x2)) = 120
(-48 + -8x + 8x2 + (-6 * X2 + -1x * X2 + x2 * X2) + -1x * (-6 + -1x + x2)) = 120
(-48 + -8x + 8x2 + (-6X2 + -1xX2 + x2X2) + -1x * (-6 + -1x + x2)) = 120
(-48 + -8x + 8x2 + -6X2 + -1xX2 + x2X2 + (-6 * -1x + -1x * -1x + x2 * -1x)) = 120
(-48 + -8x + 8x2 + -6X2 + -1xX2 + x2X2 + (6x + 1x2 + -1x3)) = 120

Reorder the terms:
(-48 + -6X2 + -8x + 6x + -1xX2 + 8x2 + 1x2 + x2X2 + -1x3) = 120

Combine like terms: -8x + 6x = -2x
(-48 + -6X2 + -2x + -1xX2 + 8x2 + 1x2 + x2X2 + -1x3) = 120

Combine like terms: 8x2 + 1x2 = 9x2
(-48 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3) = 120

Solving
-48 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 120

Solving for variable 'X'.

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

Add '48' to each side of the equation.
-48 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + 48 + -1x3 = 120 + 48

Reorder the terms:
-48 + 48 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 120 + 48

Combine like terms: -48 + 48 = 0
0 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 120 + 48
-6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 120 + 48

Combine like terms: 120 + 48 = 168
-6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 168

Add '2x' to each side of the equation.
-6X2 + -2x + -1xX2 + 9x2 + x2X2 + 2x + -1x3 = 168 + 2x

Reorder the terms:
-6X2 + -2x + 2x + -1xX2 + 9x2 + x2X2 + -1x3 = 168 + 2x

Combine like terms: -2x + 2x = 0
-6X2 + 0 + -1xX2 + 9x2 + x2X2 + -1x3 = 168 + 2x
-6X2 + -1xX2 + 9x2 + x2X2 + -1x3 = 168 + 2x

Add '-9x2' to each side of the equation.
-6X2 + -1xX2 + 9x2 + x2X2 + -9x2 + -1x3 = 168 + 2x + -9x2

Reorder the terms:
-6X2 + -1xX2 + 9x2 + -9x2 + x2X2 + -1x3 = 168 + 2x + -9x2

Combine like terms: 9x2 + -9x2 = 0
-6X2 + -1xX2 + 0 + x2X2 + -1x3 = 168 + 2x + -9x2
-6X2 + -1xX2 + x2X2 + -1x3 = 168 + 2x + -9x2

Add 'x3' to each side of the equation.
-6X2 + -1xX2 + x2X2 + -1x3 + x3 = 168 + 2x + -9x2 + x3

Combine like terms: -1x3 + x3 = 0
-6X2 + -1xX2 + x2X2 + 0 = 168 + 2x + -9x2 + x3
-6X2 + -1xX2 + x2X2 = 168 + 2x + -9x2 + x3

Reorder the terms:
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 168 + 2x + -9x2 + x3 + -168 + -2x + 9x2 + -1x3

Reorder the terms:
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 168 + -168 + 2x + -2x + -9x2 + 9x2 + x3 + -1x3

Combine like terms: 168 + -168 = 0
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 0 + 2x + -2x + -9x2 + 9x2 + x3 + -1x3
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 2x + -2x + -9x2 + 9x2 + x3 + -1x3

Combine like terms: 2x + -2x = 0
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 0 + -9x2 + 9x2 + x3 + -1x3
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = -9x2 + 9x2 + x3 + -1x3

Combine like terms: -9x2 + 9x2 = 0
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 0 + x3 + -1x3
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-168 + -6X2 + -2x + -1xX2 + 9x2 + x2X2 + -1x3 = 0

The solution to this equation could not be determined.

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