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

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


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

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

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

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

Reorder the terms:
(24 + -20x + 12x + 12x2 + -10x2 + 6x3) = 0

Combine like terms: -20x + 12x = -8x
(24 + -8x + 12x2 + -10x2 + 6x3) = 0

Combine like terms: 12x2 + -10x2 = 2x2
(24 + -8x + 2x2 + 6x3) = 0

Solving
24 + -8x + 2x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -4x + x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(12 + -4x + x2 + 3x3)' equal to zero and attempt to solve: Simplifying 12 + -4x + x2 + 3x3 = 0 Solving 12 + -4x + 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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