(3x^2-6)*(2x+1)=0

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Solution for (3x^2-6)*(2x+1)=0 equation:


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

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

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

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

Solving
-6 + -12x + 3x2 + 6x3 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + -4x + x2 + 2x3)' equal to zero and attempt to solve: Simplifying -2 + -4x + x2 + 2x3 = 0 Solving -2 + -4x + x2 + 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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