(x-1)(x-2)(x-3)=349-7x

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Solution for (x-1)(x-2)(x-3)=349-7x equation: 


Simplifying
(x + -1)(x + -2)(x + -3) = 349 + -7x

Reorder the terms:
(-1 + x)(x + -2)(x + -3) = 349 + -7x

Reorder the terms:
(-1 + x)(-2 + x)(x + -3) = 349 + -7x

Reorder the terms:
(-1 + x)(-2 + x)(-3 + x) = 349 + -7x

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(-3 + x) = 349 + -7x
((-2 * -1 + x * -1) + x(-2 + x))(-3 + x) = 349 + -7x
((2 + -1x) + x(-2 + x))(-3 + x) = 349 + -7x
(2 + -1x + (-2 * x + x * x))(-3 + x) = 349 + -7x
(2 + -1x + (-2x + x2))(-3 + x) = 349 + -7x

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(-3 + x) = 349 + -7x

Multiply (2 + -3x + x2) * (-3 + x)
(2(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = 349 + -7x
((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x)) = 349 + -7x
((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x)) = 349 + -7x
(-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x)) = 349 + -7x
(-6 + 2x + (9x + -3x2) + x2(-3 + x)) = 349 + -7x
(-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2)) = 349 + -7x
(-6 + 2x + 9x + -3x2 + (-3x2 + x3)) = 349 + -7x

Combine like terms: 2x + 9x = 11x
(-6 + 11x + -3x2 + -3x2 + x3) = 349 + -7x

Combine like terms: -3x2 + -3x2 = -6x2
(-6 + 11x + -6x2 + x3) = 349 + -7x

Solving
-6 + 11x + -6x2 + x3 = 349 + -7x

Solving for variable 'x'.

Reorder the terms:
-6 + -349 + 11x + 7x + -6x2 + x3 = 349 + -7x + -349 + 7x

Combine like terms: -6 + -349 = -355
-355 + 11x + 7x + -6x2 + x3 = 349 + -7x + -349 + 7x

Combine like terms: 11x + 7x = 18x
-355 + 18x + -6x2 + x3 = 349 + -7x + -349 + 7x

Reorder the terms:
-355 + 18x + -6x2 + x3 = 349 + -349 + -7x + 7x

Combine like terms: 349 + -349 = 0
-355 + 18x + -6x2 + x3 = 0 + -7x + 7x
-355 + 18x + -6x2 + x3 = -7x + 7x

Combine like terms: -7x + 7x = 0
-355 + 18x + -6x2 + x3 = 0

The solution to this equation could not be determined.

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