2(x-1)(x+2)(2x+1)=0

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Solution for 2(x-1)(x+2)(2x+1)=0 equation: 


Simplifying
2(x + -1)(x + 2)(2x + 1) = 0

Reorder the terms:
2(-1 + x)(x + 2)(2x + 1) = 0

Reorder the terms:
2(-1 + x)(2 + x)(2x + 1) = 0

Reorder the terms:
2(-1 + x)(2 + x)(1 + 2x) = 0

Multiply (-1 + x) * (2 + x)
2(-1(2 + x) + x(2 + x))(1 + 2x) = 0
2((2 * -1 + x * -1) + x(2 + x))(1 + 2x) = 0
2((-2 + -1x) + x(2 + x))(1 + 2x) = 0
2(-2 + -1x + (2 * x + x * x))(1 + 2x) = 0
2(-2 + -1x + (2x + x2))(1 + 2x) = 0

Combine like terms: -1x + 2x = 1x
2(-2 + 1x + x2)(1 + 2x) = 0

Multiply (-2 + 1x + x2) * (1 + 2x)
2(-2(1 + 2x) + 1x * (1 + 2x) + x2(1 + 2x)) = 0
2((1 * -2 + 2x * -2) + 1x * (1 + 2x) + x2(1 + 2x)) = 0
2((-2 + -4x) + 1x * (1 + 2x) + x2(1 + 2x)) = 0
2(-2 + -4x + (1 * 1x + 2x * 1x) + x2(1 + 2x)) = 0
2(-2 + -4x + (1x + 2x2) + x2(1 + 2x)) = 0
2(-2 + -4x + 1x + 2x2 + (1 * x2 + 2x * x2)) = 0
2(-2 + -4x + 1x + 2x2 + (1x2 + 2x3)) = 0

Combine like terms: -4x + 1x = -3x
2(-2 + -3x + 2x2 + 1x2 + 2x3) = 0

Combine like terms: 2x2 + 1x2 = 3x2
2(-2 + -3x + 3x2 + 2x3) = 0
(-2 * 2 + -3x * 2 + 3x2 * 2 + 2x3 * 2) = 0
(-4 + -6x + 6x2 + 4x3) = 0

Solving
-4 + -6x + 6x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -3x + 3x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3x + 3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-2 + -3x + 3x2 + 2x3 = 0

Solving
-2 + -3x + 3x2 + 2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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