(X^2-6x+8)(3x+8)=0

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Solution for (X^2-6x+8)(3x+8)=0 equation: 


Simplifying
(X2 + -6x + 8)(3x + 8) = 0

Reorder the terms:
(8 + X2 + -6x)(3x + 8) = 0

Reorder the terms:
(8 + X2 + -6x)(8 + 3x) = 0

Multiply (8 + X2 + -6x) * (8 + 3x)
(8(8 + 3x) + X2(8 + 3x) + -6x * (8 + 3x)) = 0
((8 * 8 + 3x * 8) + X2(8 + 3x) + -6x * (8 + 3x)) = 0
((64 + 24x) + X2(8 + 3x) + -6x * (8 + 3x)) = 0
(64 + 24x + (8 * X2 + 3x * X2) + -6x * (8 + 3x)) = 0
(64 + 24x + (8X2 + 3xX2) + -6x * (8 + 3x)) = 0
(64 + 24x + 8X2 + 3xX2 + (8 * -6x + 3x * -6x)) = 0
(64 + 24x + 8X2 + 3xX2 + (-48x + -18x2)) = 0

Reorder the terms:
(64 + 8X2 + 24x + -48x + 3xX2 + -18x2) = 0

Combine like terms: 24x + -48x = -24x
(64 + 8X2 + -24x + 3xX2 + -18x2) = 0

Solving
64 + 8X2 + -24x + 3xX2 + -18x2 = 0

Solving for variable 'X'.

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

Add '-64' to each side of the equation.
64 + 8X2 + -24x + 3xX2 + -64 + -18x2 = 0 + -64

Reorder the terms:
64 + -64 + 8X2 + -24x + 3xX2 + -18x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 8X2 + -24x + 3xX2 + -18x2 = 0 + -64
8X2 + -24x + 3xX2 + -18x2 = 0 + -64

Combine like terms: 0 + -64 = -64
8X2 + -24x + 3xX2 + -18x2 = -64

Add '24x' to each side of the equation.
8X2 + -24x + 3xX2 + 24x + -18x2 = -64 + 24x

Reorder the terms:
8X2 + -24x + 24x + 3xX2 + -18x2 = -64 + 24x

Combine like terms: -24x + 24x = 0
8X2 + 0 + 3xX2 + -18x2 = -64 + 24x
8X2 + 3xX2 + -18x2 = -64 + 24x

Add '18x2' to each side of the equation.
8X2 + 3xX2 + -18x2 + 18x2 = -64 + 24x + 18x2

Combine like terms: -18x2 + 18x2 = 0
8X2 + 3xX2 + 0 = -64 + 24x + 18x2
8X2 + 3xX2 = -64 + 24x + 18x2

Reorder the terms:
64 + 8X2 + -24x + 3xX2 + -18x2 = -64 + 24x + 18x2 + 64 + -24x + -18x2

Reorder the terms:
64 + 8X2 + -24x + 3xX2 + -18x2 = -64 + 64 + 24x + -24x + 18x2 + -18x2

Combine like terms: -64 + 64 = 0
64 + 8X2 + -24x + 3xX2 + -18x2 = 0 + 24x + -24x + 18x2 + -18x2
64 + 8X2 + -24x + 3xX2 + -18x2 = 24x + -24x + 18x2 + -18x2

Combine like terms: 24x + -24x = 0
64 + 8X2 + -24x + 3xX2 + -18x2 = 0 + 18x2 + -18x2
64 + 8X2 + -24x + 3xX2 + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
64 + 8X2 + -24x + 3xX2 + -18x2 = 0

The solution to this equation could not be determined.

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