(-3x^2-1)x(2x+4)=0

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Solution for (-3x^2-1)x(2x+4)=0 equation:


Simplifying
(-3x2 + -1) * x(2x + 4) = 0

Reorder the terms:
(-1 + -3x2) * x(2x + 4) = 0

Reorder the terms:
(-1 + -3x2) * x(4 + 2x) = 0

Reorder the terms for easier multiplication:
x(-1 + -3x2)(4 + 2x) = 0

Multiply (-1 + -3x2) * (4 + 2x)
x(-1(4 + 2x) + -3x2 * (4 + 2x)) = 0
x((4 * -1 + 2x * -1) + -3x2 * (4 + 2x)) = 0
x((-4 + -2x) + -3x2 * (4 + 2x)) = 0
x(-4 + -2x + (4 * -3x2 + 2x * -3x2)) = 0
x(-4 + -2x + (-12x2 + -6x3)) = 0
x(-4 + -2x + -12x2 + -6x3) = 0
(-4 * x + -2x * x + -12x2 * x + -6x3 * x) = 0
(-4x + -2x2 + -12x3 + -6x4) = 0

Solving
-4x + -2x2 + -12x3 + -6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(2 + x + 6x2 + 3x3) = 0

Ignore the factor -2.

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 '(2 + x + 6x2 + 3x3)' equal to zero and attempt to solve: Simplifying 2 + x + 6x2 + 3x3 = 0 Solving 2 + x + 6x2 + 3x3 = 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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