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

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


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

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

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

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

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

Combine like terms: 12x + 30x = 42x
(24 + 42x + 24x2 + 15x2 + 30x3) = 0

Combine like terms: 24x2 + 15x2 = 39x2
(24 + 42x + 39x2 + 30x3) = 0

Solving
24 + 42x + 39x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + 14x + 13x2 + 10x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(8 + 14x + 13x2 + 10x3)' equal to zero and attempt to solve: Simplifying 8 + 14x + 13x2 + 10x3 = 0 Solving 8 + 14x + 13x2 + 10x3 = 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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