(2x^2-x)(-6x^3-9x^2+3)=

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Solution for (2x^2-x)(-6x^3-9x^2+3)= equation:


Simplifying
(2x2 + -1x)(-6x3 + -9x2 + 3) = 0

Reorder the terms:
(-1x + 2x2)(-6x3 + -9x2 + 3) = 0

Reorder the terms:
(-1x + 2x2)(3 + -9x2 + -6x3) = 0

Multiply (-1x + 2x2) * (3 + -9x2 + -6x3)
(-1x * (3 + -9x2 + -6x3) + 2x2 * (3 + -9x2 + -6x3)) = 0
((3 * -1x + -9x2 * -1x + -6x3 * -1x) + 2x2 * (3 + -9x2 + -6x3)) = 0
((-3x + 9x3 + 6x4) + 2x2 * (3 + -9x2 + -6x3)) = 0
(-3x + 9x3 + 6x4 + (3 * 2x2 + -9x2 * 2x2 + -6x3 * 2x2)) = 0
(-3x + 9x3 + 6x4 + (6x2 + -18x4 + -12x5)) = 0

Reorder the terms:
(-3x + 6x2 + 9x3 + 6x4 + -18x4 + -12x5) = 0

Combine like terms: 6x4 + -18x4 = -12x4
(-3x + 6x2 + 9x3 + -12x4 + -12x5) = 0

Solving
-3x + 6x2 + 9x3 + -12x4 + -12x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + 2x + 3x2 + -4x3 + -4x4) = 0

Ignore the factor 3.

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 + 3x2 + -4x3 + -4x4)' equal to zero and attempt to solve: Simplifying -1 + 2x + 3x2 + -4x3 + -4x4 = 0 Solving -1 + 2x + 3x2 + -4x3 + -4x4 = 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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