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

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


Simplifying
(2x + 6)(5x3 + -6x2 + 4) = 0

Reorder the terms:
(6 + 2x)(5x3 + -6x2 + 4) = 0

Reorder the terms:
(6 + 2x)(4 + -6x2 + 5x3) = 0

Multiply (6 + 2x) * (4 + -6x2 + 5x3)
(6(4 + -6x2 + 5x3) + 2x * (4 + -6x2 + 5x3)) = 0
((4 * 6 + -6x2 * 6 + 5x3 * 6) + 2x * (4 + -6x2 + 5x3)) = 0
((24 + -36x2 + 30x3) + 2x * (4 + -6x2 + 5x3)) = 0
(24 + -36x2 + 30x3 + (4 * 2x + -6x2 * 2x + 5x3 * 2x)) = 0
(24 + -36x2 + 30x3 + (8x + -12x3 + 10x4)) = 0

Reorder the terms:
(24 + 8x + -36x2 + 30x3 + -12x3 + 10x4) = 0

Combine like terms: 30x3 + -12x3 = 18x3
(24 + 8x + -36x2 + 18x3 + 10x4) = 0

Solving
24 + 8x + -36x2 + 18x3 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 4x + -18x2 + 9x3 + 5x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(12 + 4x + -18x2 + 9x3 + 5x4)' equal to zero and attempt to solve: Simplifying 12 + 4x + -18x2 + 9x3 + 5x4 = 0 Solving 12 + 4x + -18x2 + 9x3 + 5x4 = 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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