(x^2-6x)(x-2)+(2x-21)(x-2)=

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Solution for (x^2-6x)(x-2)+(2x-21)(x-2)= equation: 


Simplifying
(x2 + -6x)(x + -2) + (2x + -21)(x + -2) = 0

Reorder the terms:
(-6x + x2)(x + -2) + (2x + -21)(x + -2) = 0

Reorder the terms:
(-6x + x2)(-2 + x) + (2x + -21)(x + -2) = 0

Multiply (-6x + x2) * (-2 + x)
(-6x * (-2 + x) + x2(-2 + x)) + (2x + -21)(x + -2) = 0
((-2 * -6x + x * -6x) + x2(-2 + x)) + (2x + -21)(x + -2) = 0
((12x + -6x2) + x2(-2 + x)) + (2x + -21)(x + -2) = 0
(12x + -6x2 + (-2 * x2 + x * x2)) + (2x + -21)(x + -2) = 0
(12x + -6x2 + (-2x2 + x3)) + (2x + -21)(x + -2) = 0

Combine like terms: -6x2 + -2x2 = -8x2
(12x + -8x2 + x3) + (2x + -21)(x + -2) = 0

Reorder the terms:
12x + -8x2 + x3 + (-21 + 2x)(x + -2) = 0

Reorder the terms:
12x + -8x2 + x3 + (-21 + 2x)(-2 + x) = 0

Multiply (-21 + 2x) * (-2 + x)
12x + -8x2 + x3 + (-21(-2 + x) + 2x * (-2 + x)) = 0
12x + -8x2 + x3 + ((-2 * -21 + x * -21) + 2x * (-2 + x)) = 0
12x + -8x2 + x3 + ((42 + -21x) + 2x * (-2 + x)) = 0
12x + -8x2 + x3 + (42 + -21x + (-2 * 2x + x * 2x)) = 0
12x + -8x2 + x3 + (42 + -21x + (-4x + 2x2)) = 0

Combine like terms: -21x + -4x = -25x
12x + -8x2 + x3 + (42 + -25x + 2x2) = 0

Reorder the terms:
42 + 12x + -25x + -8x2 + 2x2 + x3 = 0

Combine like terms: 12x + -25x = -13x
42 + -13x + -8x2 + 2x2 + x3 = 0

Combine like terms: -8x2 + 2x2 = -6x2
42 + -13x + -6x2 + x3 = 0

Solving
42 + -13x + -6x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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