(3x+7)(6x^2+4x-6)=

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Solution for (3x+7)(6x^2+4x-6)= equation:


Simplifying
(3x + 7)(6x2 + 4x + -6) = 0

Reorder the terms:
(7 + 3x)(6x2 + 4x + -6) = 0

Reorder the terms:
(7 + 3x)(-6 + 4x + 6x2) = 0

Multiply (7 + 3x) * (-6 + 4x + 6x2)
(7(-6 + 4x + 6x2) + 3x * (-6 + 4x + 6x2)) = 0
((-6 * 7 + 4x * 7 + 6x2 * 7) + 3x * (-6 + 4x + 6x2)) = 0
((-42 + 28x + 42x2) + 3x * (-6 + 4x + 6x2)) = 0
(-42 + 28x + 42x2 + (-6 * 3x + 4x * 3x + 6x2 * 3x)) = 0
(-42 + 28x + 42x2 + (-18x + 12x2 + 18x3)) = 0

Reorder the terms:
(-42 + 28x + -18x + 42x2 + 12x2 + 18x3) = 0

Combine like terms: 28x + -18x = 10x
(-42 + 10x + 42x2 + 12x2 + 18x3) = 0

Combine like terms: 42x2 + 12x2 = 54x2
(-42 + 10x + 54x2 + 18x3) = 0

Solving
-42 + 10x + 54x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + 5x + 27x2 + 9x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-21 + 5x + 27x2 + 9x3)' equal to zero and attempt to solve: Simplifying -21 + 5x + 27x2 + 9x3 = 0 Solving -21 + 5x + 27x2 + 9x3 = 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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