(X-2)(x^2-8k+15)=0

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Solution for (X-2)(x^2-8k+15)=0 equation: 


Simplifying
(X + -2)(x2 + -8k + 15) = 0

Reorder the terms:
(-2 + X)(x2 + -8k + 15) = 0

Reorder the terms:
(-2 + X)(15 + -8k + x2) = 0

Multiply (-2 + X) * (15 + -8k + x2)
(-2(15 + -8k + x2) + X(15 + -8k + x2)) = 0
((15 * -2 + -8k * -2 + x2 * -2) + X(15 + -8k + x2)) = 0
((-30 + 16k + -2x2) + X(15 + -8k + x2)) = 0
(-30 + 16k + -2x2 + (15 * X + -8k * X + x2 * X)) = 0
(-30 + 16k + -2x2 + (15X + -8kX + x2X)) = 0

Reorder the terms:
(-30 + 15X + 16k + -8kX + -2x2 + x2X) = 0
(-30 + 15X + 16k + -8kX + -2x2 + x2X) = 0

Solving
-30 + 15X + 16k + -8kX + -2x2 + x2X = 0

Solving for variable 'X'.

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

Add '30' to each side of the equation.
-30 + 15X + 16k + -8kX + -2x2 + 30 + x2X = 0 + 30

Reorder the terms:
-30 + 30 + 15X + 16k + -8kX + -2x2 + x2X = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 15X + 16k + -8kX + -2x2 + x2X = 0 + 30
15X + 16k + -8kX + -2x2 + x2X = 0 + 30

Combine like terms: 0 + 30 = 30
15X + 16k + -8kX + -2x2 + x2X = 30

Add '-16k' to each side of the equation.
15X + 16k + -8kX + -2x2 + -16k + x2X = 30 + -16k

Reorder the terms:
15X + 16k + -16k + -8kX + -2x2 + x2X = 30 + -16k

Combine like terms: 16k + -16k = 0
15X + 0 + -8kX + -2x2 + x2X = 30 + -16k
15X + -8kX + -2x2 + x2X = 30 + -16k

Add '2x2' to each side of the equation.
15X + -8kX + -2x2 + 2x2 + x2X = 30 + -16k + 2x2

Combine like terms: -2x2 + 2x2 = 0
15X + -8kX + 0 + x2X = 30 + -16k + 2x2
15X + -8kX + x2X = 30 + -16k + 2x2

Reorder the terms:
-30 + 15X + 16k + -8kX + -2x2 + x2X = 30 + -16k + 2x2 + -30 + 16k + -2x2

Reorder the terms:
-30 + 15X + 16k + -8kX + -2x2 + x2X = 30 + -30 + -16k + 16k + 2x2 + -2x2

Combine like terms: 30 + -30 = 0
-30 + 15X + 16k + -8kX + -2x2 + x2X = 0 + -16k + 16k + 2x2 + -2x2
-30 + 15X + 16k + -8kX + -2x2 + x2X = -16k + 16k + 2x2 + -2x2

Combine like terms: -16k + 16k = 0
-30 + 15X + 16k + -8kX + -2x2 + x2X = 0 + 2x2 + -2x2
-30 + 15X + 16k + -8kX + -2x2 + x2X = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-30 + 15X + 16k + -8kX + -2x2 + x2X = 0

The solution to this equation could not be determined.

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