(x-2)(x-3)(x-7)=0(x-2)

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Solution for (x-2)(x-3)(x-7)=0(x-2) equation:


Simplifying
(x + -2)(x + -3)(x + -7) = 0(x + -2)

Reorder the terms:
(-2 + x)(x + -3)(x + -7) = 0(x + -2)

Reorder the terms:
(-2 + x)(-3 + x)(x + -7) = 0(x + -2)

Reorder the terms:
(-2 + x)(-3 + x)(-7 + x) = 0(x + -2)

Multiply (-2 + x) * (-3 + x)
(-2(-3 + x) + x(-3 + x))(-7 + x) = 0(x + -2)
((-3 * -2 + x * -2) + x(-3 + x))(-7 + x) = 0(x + -2)
((6 + -2x) + x(-3 + x))(-7 + x) = 0(x + -2)
(6 + -2x + (-3 * x + x * x))(-7 + x) = 0(x + -2)
(6 + -2x + (-3x + x2))(-7 + x) = 0(x + -2)

Combine like terms: -2x + -3x = -5x
(6 + -5x + x2)(-7 + x) = 0(x + -2)

Multiply (6 + -5x + x2) * (-7 + x)
(6(-7 + x) + -5x * (-7 + x) + x2(-7 + x)) = 0(x + -2)
((-7 * 6 + x * 6) + -5x * (-7 + x) + x2(-7 + x)) = 0(x + -2)
((-42 + 6x) + -5x * (-7 + x) + x2(-7 + x)) = 0(x + -2)
(-42 + 6x + (-7 * -5x + x * -5x) + x2(-7 + x)) = 0(x + -2)
(-42 + 6x + (35x + -5x2) + x2(-7 + x)) = 0(x + -2)
(-42 + 6x + 35x + -5x2 + (-7 * x2 + x * x2)) = 0(x + -2)
(-42 + 6x + 35x + -5x2 + (-7x2 + x3)) = 0(x + -2)

Combine like terms: 6x + 35x = 41x
(-42 + 41x + -5x2 + -7x2 + x3) = 0(x + -2)

Combine like terms: -5x2 + -7x2 = -12x2
(-42 + 41x + -12x2 + x3) = 0(x + -2)

Reorder the terms:
-42 + 41x + -12x2 + x3 = 0(-2 + x)

Anything times zero is zero.
-42 + 41x + -12x2 + x3 = 0(-2 + x)

Solving
-42 + 41x + -12x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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