(2x^2-x)(2x^2+11x-6)=0

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Solution for (2x^2-x)(2x^2+11x-6)=0 equation:


Simplifying
(2x2 + -1x)(2x2 + 11x + -6) = 0

Reorder the terms:
(-1x + 2x2)(2x2 + 11x + -6) = 0

Reorder the terms:
(-1x + 2x2)(-6 + 11x + 2x2) = 0

Multiply (-1x + 2x2) * (-6 + 11x + 2x2)
(-1x * (-6 + 11x + 2x2) + 2x2 * (-6 + 11x + 2x2)) = 0
((-6 * -1x + 11x * -1x + 2x2 * -1x) + 2x2 * (-6 + 11x + 2x2)) = 0
((6x + -11x2 + -2x3) + 2x2 * (-6 + 11x + 2x2)) = 0
(6x + -11x2 + -2x3 + (-6 * 2x2 + 11x * 2x2 + 2x2 * 2x2)) = 0
(6x + -11x2 + -2x3 + (-12x2 + 22x3 + 4x4)) = 0

Reorder the terms:
(6x + -11x2 + -12x2 + -2x3 + 22x3 + 4x4) = 0

Combine like terms: -11x2 + -12x2 = -23x2
(6x + -23x2 + -2x3 + 22x3 + 4x4) = 0

Combine like terms: -2x3 + 22x3 = 20x3
(6x + -23x2 + 20x3 + 4x4) = 0

Solving
6x + -23x2 + 20x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -23x + 20x2 + 4x3) = 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 '(6 + -23x + 20x2 + 4x3)' equal to zero and attempt to solve: Simplifying 6 + -23x + 20x2 + 4x3 = 0 Solving 6 + -23x + 20x2 + 4x3 = 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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