(X-7)(x^2-17x+66)=0

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Solution for (X-7)(x^2-17x+66)=0 equation: 


Simplifying
(X + -7)(x2 + -17x + 66) = 0

Reorder the terms:
(-7 + X)(x2 + -17x + 66) = 0

Reorder the terms:
(-7 + X)(66 + -17x + x2) = 0

Multiply (-7 + X) * (66 + -17x + x2)
(-7(66 + -17x + x2) + X(66 + -17x + x2)) = 0
((66 * -7 + -17x * -7 + x2 * -7) + X(66 + -17x + x2)) = 0
((-462 + 119x + -7x2) + X(66 + -17x + x2)) = 0
(-462 + 119x + -7x2 + (66 * X + -17x * X + x2 * X)) = 0
(-462 + 119x + -7x2 + (66X + -17xX + x2X)) = 0

Reorder the terms:
(-462 + 66X + 119x + -17xX + -7x2 + x2X) = 0
(-462 + 66X + 119x + -17xX + -7x2 + x2X) = 0

Solving
-462 + 66X + 119x + -17xX + -7x2 + x2X = 0

Solving for variable 'X'.

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

Add '462' to each side of the equation.
-462 + 66X + 119x + -17xX + -7x2 + 462 + x2X = 0 + 462

Reorder the terms:
-462 + 462 + 66X + 119x + -17xX + -7x2 + x2X = 0 + 462

Combine like terms: -462 + 462 = 0
0 + 66X + 119x + -17xX + -7x2 + x2X = 0 + 462
66X + 119x + -17xX + -7x2 + x2X = 0 + 462

Combine like terms: 0 + 462 = 462
66X + 119x + -17xX + -7x2 + x2X = 462

Add '-119x' to each side of the equation.
66X + 119x + -17xX + -7x2 + -119x + x2X = 462 + -119x

Reorder the terms:
66X + 119x + -119x + -17xX + -7x2 + x2X = 462 + -119x

Combine like terms: 119x + -119x = 0
66X + 0 + -17xX + -7x2 + x2X = 462 + -119x
66X + -17xX + -7x2 + x2X = 462 + -119x

Add '7x2' to each side of the equation.
66X + -17xX + -7x2 + 7x2 + x2X = 462 + -119x + 7x2

Combine like terms: -7x2 + 7x2 = 0
66X + -17xX + 0 + x2X = 462 + -119x + 7x2
66X + -17xX + x2X = 462 + -119x + 7x2

Reorder the terms:
-462 + 66X + 119x + -17xX + -7x2 + x2X = 462 + -119x + 7x2 + -462 + 119x + -7x2

Reorder the terms:
-462 + 66X + 119x + -17xX + -7x2 + x2X = 462 + -462 + -119x + 119x + 7x2 + -7x2

Combine like terms: 462 + -462 = 0
-462 + 66X + 119x + -17xX + -7x2 + x2X = 0 + -119x + 119x + 7x2 + -7x2
-462 + 66X + 119x + -17xX + -7x2 + x2X = -119x + 119x + 7x2 + -7x2

Combine like terms: -119x + 119x = 0
-462 + 66X + 119x + -17xX + -7x2 + x2X = 0 + 7x2 + -7x2
-462 + 66X + 119x + -17xX + -7x2 + x2X = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-462 + 66X + 119x + -17xX + -7x2 + x2X = 0

The solution to this equation could not be determined.

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