(x-2)(3x^2+6x+15)=0

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Solution for (x-2)(3x^2+6x+15)=0 equation:


Simplifying
(x + -2)(3x2 + 6x + 15) = 0

Reorder the terms:
(-2 + x)(3x2 + 6x + 15) = 0

Reorder the terms:
(-2 + x)(15 + 6x + 3x2) = 0

Multiply (-2 + x) * (15 + 6x + 3x2)
(-2(15 + 6x + 3x2) + x(15 + 6x + 3x2)) = 0
((15 * -2 + 6x * -2 + 3x2 * -2) + x(15 + 6x + 3x2)) = 0
((-30 + -12x + -6x2) + x(15 + 6x + 3x2)) = 0
(-30 + -12x + -6x2 + (15 * x + 6x * x + 3x2 * x)) = 0
(-30 + -12x + -6x2 + (15x + 6x2 + 3x3)) = 0

Reorder the terms:
(-30 + -12x + 15x + -6x2 + 6x2 + 3x3) = 0

Combine like terms: -12x + 15x = 3x
(-30 + 3x + -6x2 + 6x2 + 3x3) = 0

Combine like terms: -6x2 + 6x2 = 0
(-30 + 3x + 0 + 3x3) = 0
(-30 + 3x + 3x3) = 0

Solving
-30 + 3x + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + x + x3) = 0

Ignore the factor 3.

Subproblem 1

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