(6x+18)(x^2+3x-4)=0

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Solution for (6x+18)(x^2+3x-4)=0 equation:


Simplifying
(6x + 18)(x2 + 3x + -4) = 0

Reorder the terms:
(18 + 6x)(x2 + 3x + -4) = 0

Reorder the terms:
(18 + 6x)(-4 + 3x + x2) = 0

Multiply (18 + 6x) * (-4 + 3x + x2)
(18(-4 + 3x + x2) + 6x * (-4 + 3x + x2)) = 0
((-4 * 18 + 3x * 18 + x2 * 18) + 6x * (-4 + 3x + x2)) = 0
((-72 + 54x + 18x2) + 6x * (-4 + 3x + x2)) = 0
(-72 + 54x + 18x2 + (-4 * 6x + 3x * 6x + x2 * 6x)) = 0
(-72 + 54x + 18x2 + (-24x + 18x2 + 6x3)) = 0

Reorder the terms:
(-72 + 54x + -24x + 18x2 + 18x2 + 6x3) = 0

Combine like terms: 54x + -24x = 30x
(-72 + 30x + 18x2 + 18x2 + 6x3) = 0

Combine like terms: 18x2 + 18x2 = 36x2
(-72 + 30x + 36x2 + 6x3) = 0

Solving
-72 + 30x + 36x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-12 + 5x + 6x2 + x3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-12 + 5x + 6x2 + x3)' equal to zero and attempt to solve: Simplifying -12 + 5x + 6x2 + x3 = 0 Solving -12 + 5x + 6x2 + x3 = 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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