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

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


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

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

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

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

Multiply (-3 + x) * (-7 + x)
0 = (-3(-7 + x) + x(-7 + x))(-2 + x)
0 = ((-7 * -3 + x * -3) + x(-7 + x))(-2 + x)
0 = ((21 + -3x) + x(-7 + x))(-2 + x)
0 = (21 + -3x + (-7 * x + x * x))(-2 + x)
0 = (21 + -3x + (-7x + x2))(-2 + x)

Combine like terms: -3x + -7x = -10x
0 = (21 + -10x + x2)(-2 + x)

Multiply (21 + -10x + x2) * (-2 + x)
0 = (21(-2 + x) + -10x * (-2 + x) + x2(-2 + x))
0 = ((-2 * 21 + x * 21) + -10x * (-2 + x) + x2(-2 + x))
0 = ((-42 + 21x) + -10x * (-2 + x) + x2(-2 + x))
0 = (-42 + 21x + (-2 * -10x + x * -10x) + x2(-2 + x))
0 = (-42 + 21x + (20x + -10x2) + x2(-2 + x))
0 = (-42 + 21x + 20x + -10x2 + (-2 * x2 + x * x2))
0 = (-42 + 21x + 20x + -10x2 + (-2x2 + x3))

Combine like terms: 21x + 20x = 41x
0 = (-42 + 41x + -10x2 + -2x2 + x3)

Combine like terms: -10x2 + -2x2 = -12x2
0 = (-42 + 41x + -12x2 + x3)

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

Solving for variable 'x'.

Combine like terms: 0 + 42 = 42
42 + -41x + 12x2 + -1x3 = -42 + 41x + -12x2 + x3 + 42 + -41x + 12x2 + -1x3

Reorder the terms:
42 + -41x + 12x2 + -1x3 = -42 + 42 + 41x + -41x + -12x2 + 12x2 + x3 + -1x3

Combine like terms: -42 + 42 = 0
42 + -41x + 12x2 + -1x3 = 0 + 41x + -41x + -12x2 + 12x2 + x3 + -1x3
42 + -41x + 12x2 + -1x3 = 41x + -41x + -12x2 + 12x2 + x3 + -1x3

Combine like terms: 41x + -41x = 0
42 + -41x + 12x2 + -1x3 = 0 + -12x2 + 12x2 + x3 + -1x3
42 + -41x + 12x2 + -1x3 = -12x2 + 12x2 + x3 + -1x3

Combine like terms: -12x2 + 12x2 = 0
42 + -41x + 12x2 + -1x3 = 0 + x3 + -1x3
42 + -41x + 12x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
42 + -41x + 12x2 + -1x3 = 0

The solution to this equation could not be determined.

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