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

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


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

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

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

Multiply (6 + 3x) * (-4 + 5x + 2x2)
(6(-4 + 5x + 2x2) + 3x * (-4 + 5x + 2x2)) = 0
((-4 * 6 + 5x * 6 + 2x2 * 6) + 3x * (-4 + 5x + 2x2)) = 0
((-24 + 30x + 12x2) + 3x * (-4 + 5x + 2x2)) = 0
(-24 + 30x + 12x2 + (-4 * 3x + 5x * 3x + 2x2 * 3x)) = 0
(-24 + 30x + 12x2 + (-12x + 15x2 + 6x3)) = 0

Reorder the terms:
(-24 + 30x + -12x + 12x2 + 15x2 + 6x3) = 0

Combine like terms: 30x + -12x = 18x
(-24 + 18x + 12x2 + 15x2 + 6x3) = 0

Combine like terms: 12x2 + 15x2 = 27x2
(-24 + 18x + 27x2 + 6x3) = 0

Solving
-24 + 18x + 27x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 6x + 9x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-8 + 6x + 9x2 + 2x3)' equal to zero and attempt to solve: Simplifying -8 + 6x + 9x2 + 2x3 = 0 Solving -8 + 6x + 9x2 + 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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