(2x-1)(x-2)(x+3)=30

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Solution for (2x-1)(x-2)(x+3)=30 equation:


Simplifying
(2x + -1)(x + -2)(x + 3) = 30

Reorder the terms:
(-1 + 2x)(x + -2)(x + 3) = 30

Reorder the terms:
(-1 + 2x)(-2 + x)(x + 3) = 30

Reorder the terms:
(-1 + 2x)(-2 + x)(3 + x) = 30

Multiply (-1 + 2x) * (-2 + x)
(-1(-2 + x) + 2x * (-2 + x))(3 + x) = 30
((-2 * -1 + x * -1) + 2x * (-2 + x))(3 + x) = 30
((2 + -1x) + 2x * (-2 + x))(3 + x) = 30
(2 + -1x + (-2 * 2x + x * 2x))(3 + x) = 30
(2 + -1x + (-4x + 2x2))(3 + x) = 30

Combine like terms: -1x + -4x = -5x
(2 + -5x + 2x2)(3 + x) = 30

Multiply (2 + -5x + 2x2) * (3 + x)
(2(3 + x) + -5x * (3 + x) + 2x2 * (3 + x)) = 30
((3 * 2 + x * 2) + -5x * (3 + x) + 2x2 * (3 + x)) = 30
((6 + 2x) + -5x * (3 + x) + 2x2 * (3 + x)) = 30
(6 + 2x + (3 * -5x + x * -5x) + 2x2 * (3 + x)) = 30
(6 + 2x + (-15x + -5x2) + 2x2 * (3 + x)) = 30
(6 + 2x + -15x + -5x2 + (3 * 2x2 + x * 2x2)) = 30
(6 + 2x + -15x + -5x2 + (6x2 + 2x3)) = 30

Combine like terms: 2x + -15x = -13x
(6 + -13x + -5x2 + 6x2 + 2x3) = 30

Combine like terms: -5x2 + 6x2 = 1x2
(6 + -13x + 1x2 + 2x3) = 30

Solving
6 + -13x + 1x2 + 2x3 = 30

Solving for variable 'x'.

Reorder the terms:
6 + -30 + -13x + 1x2 + 2x3 = 30 + -30

Combine like terms: 6 + -30 = -24
-24 + -13x + 1x2 + 2x3 = 30 + -30

Combine like terms: 30 + -30 = 0
-24 + -13x + 1x2 + 2x3 = 0

The solution to this equation could not be determined.

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