(x-1)(x-2)(x+3)=42

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Solution for (x-1)(x-2)(x+3)=42 equation:


Simplifying
(x + -1)(x + -2)(x + 3) = 42

Reorder the terms:
(-1 + x)(x + -2)(x + 3) = 42

Reorder the terms:
(-1 + x)(-2 + x)(x + 3) = 42

Reorder the terms:
(-1 + x)(-2 + x)(3 + x) = 42

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(3 + x) = 42
((-2 * -1 + x * -1) + x(-2 + x))(3 + x) = 42
((2 + -1x) + x(-2 + x))(3 + x) = 42
(2 + -1x + (-2 * x + x * x))(3 + x) = 42
(2 + -1x + (-2x + x2))(3 + x) = 42

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(3 + x) = 42

Multiply (2 + -3x + x2) * (3 + x)
(2(3 + x) + -3x * (3 + x) + x2(3 + x)) = 42
((3 * 2 + x * 2) + -3x * (3 + x) + x2(3 + x)) = 42
((6 + 2x) + -3x * (3 + x) + x2(3 + x)) = 42
(6 + 2x + (3 * -3x + x * -3x) + x2(3 + x)) = 42
(6 + 2x + (-9x + -3x2) + x2(3 + x)) = 42
(6 + 2x + -9x + -3x2 + (3 * x2 + x * x2)) = 42
(6 + 2x + -9x + -3x2 + (3x2 + x3)) = 42

Combine like terms: 2x + -9x = -7x
(6 + -7x + -3x2 + 3x2 + x3) = 42

Combine like terms: -3x2 + 3x2 = 0
(6 + -7x + 0 + x3) = 42
(6 + -7x + x3) = 42

Solving
6 + -7x + x3 = 42

Solving for variable 'x'.

Reorder the terms:
6 + -42 + -7x + x3 = 42 + -42

Combine like terms: 6 + -42 = -36
-36 + -7x + x3 = 42 + -42

Combine like terms: 42 + -42 = 0
-36 + -7x + x3 = 0

The solution to this equation could not be determined.

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