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

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


Simplifying
(2x2 + 3x + -1) * x(x + 1) = 0

Reorder the terms:
(-1 + 3x + 2x2) * x(x + 1) = 0

Reorder the terms:
(-1 + 3x + 2x2) * x(1 + x) = 0

Reorder the terms for easier multiplication:
x(-1 + 3x + 2x2)(1 + x) = 0

Multiply (-1 + 3x + 2x2) * (1 + x)
x(-1(1 + x) + 3x * (1 + x) + 2x2 * (1 + x)) = 0
x((1 * -1 + x * -1) + 3x * (1 + x) + 2x2 * (1 + x)) = 0
x((-1 + -1x) + 3x * (1 + x) + 2x2 * (1 + x)) = 0
x(-1 + -1x + (1 * 3x + x * 3x) + 2x2 * (1 + x)) = 0
x(-1 + -1x + (3x + 3x2) + 2x2 * (1 + x)) = 0
x(-1 + -1x + 3x + 3x2 + (1 * 2x2 + x * 2x2)) = 0
x(-1 + -1x + 3x + 3x2 + (2x2 + 2x3)) = 0

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

Combine like terms: 3x2 + 2x2 = 5x2
x(-1 + 2x + 5x2 + 2x3) = 0
(-1 * x + 2x * x + 5x2 * x + 2x3 * x) = 0
(-1x + 2x2 + 5x3 + 2x4) = 0

Solving
-1x + 2x2 + 5x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 2x + 5x2 + 2x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-1 + 2x + 5x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-1 + 2x + 5x2 + 2x3 = 0

Solving
-1 + 2x + 5x2 + 2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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