(3x^2-5x-6)(2x+4)=

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Solution for (3x^2-5x-6)(2x+4)= equation:


Simplifying
(3x2 + -5x + -6)(2x + 4) = 0

Reorder the terms:
(-6 + -5x + 3x2)(2x + 4) = 0

Reorder the terms:
(-6 + -5x + 3x2)(4 + 2x) = 0

Multiply (-6 + -5x + 3x2) * (4 + 2x)
(-6(4 + 2x) + -5x * (4 + 2x) + 3x2 * (4 + 2x)) = 0
((4 * -6 + 2x * -6) + -5x * (4 + 2x) + 3x2 * (4 + 2x)) = 0
((-24 + -12x) + -5x * (4 + 2x) + 3x2 * (4 + 2x)) = 0
(-24 + -12x + (4 * -5x + 2x * -5x) + 3x2 * (4 + 2x)) = 0
(-24 + -12x + (-20x + -10x2) + 3x2 * (4 + 2x)) = 0
(-24 + -12x + -20x + -10x2 + (4 * 3x2 + 2x * 3x2)) = 0
(-24 + -12x + -20x + -10x2 + (12x2 + 6x3)) = 0

Combine like terms: -12x + -20x = -32x
(-24 + -32x + -10x2 + 12x2 + 6x3) = 0

Combine like terms: -10x2 + 12x2 = 2x2
(-24 + -32x + 2x2 + 6x3) = 0

Solving
-24 + -32x + 2x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -16x + x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-12 + -16x + x2 + 3x3)' equal to zero and attempt to solve: Simplifying -12 + -16x + x2 + 3x3 = 0 Solving -12 + -16x + x2 + 3x3 = 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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