5(3x^2+6x+12)+3(x^3-3x^2-2x+16)=

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Solution for 5(3x^2+6x+12)+3(x^3-3x^2-2x+16)= equation:


Simplifying
5(3x2 + 6x + 12) + 3(x3 + -3x2 + -2x + 16) = 0

Reorder the terms:
5(12 + 6x + 3x2) + 3(x3 + -3x2 + -2x + 16) = 0
(12 * 5 + 6x * 5 + 3x2 * 5) + 3(x3 + -3x2 + -2x + 16) = 0
(60 + 30x + 15x2) + 3(x3 + -3x2 + -2x + 16) = 0

Reorder the terms:
60 + 30x + 15x2 + 3(16 + -2x + -3x2 + x3) = 0
60 + 30x + 15x2 + (16 * 3 + -2x * 3 + -3x2 * 3 + x3 * 3) = 0
60 + 30x + 15x2 + (48 + -6x + -9x2 + 3x3) = 0

Reorder the terms:
60 + 48 + 30x + -6x + 15x2 + -9x2 + 3x3 = 0

Combine like terms: 60 + 48 = 108
108 + 30x + -6x + 15x2 + -9x2 + 3x3 = 0

Combine like terms: 30x + -6x = 24x
108 + 24x + 15x2 + -9x2 + 3x3 = 0

Combine like terms: 15x2 + -9x2 = 6x2
108 + 24x + 6x2 + 3x3 = 0

Solving
108 + 24x + 6x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(36 + 8x + 2x2 + x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(36 + 8x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying 36 + 8x + 2x2 + x3 = 0 Solving 36 + 8x + 2x2 + 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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