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

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


Simplifying
(6x + 3)(5x2 + 5x + 5) = 0

Reorder the terms:
(3 + 6x)(5x2 + 5x + 5) = 0

Reorder the terms:
(3 + 6x)(5 + 5x + 5x2) = 0

Multiply (3 + 6x) * (5 + 5x + 5x2)
(3(5 + 5x + 5x2) + 6x * (5 + 5x + 5x2)) = 0
((5 * 3 + 5x * 3 + 5x2 * 3) + 6x * (5 + 5x + 5x2)) = 0
((15 + 15x + 15x2) + 6x * (5 + 5x + 5x2)) = 0
(15 + 15x + 15x2 + (5 * 6x + 5x * 6x + 5x2 * 6x)) = 0
(15 + 15x + 15x2 + (30x + 30x2 + 30x3)) = 0

Reorder the terms:
(15 + 15x + 30x + 15x2 + 30x2 + 30x3) = 0

Combine like terms: 15x + 30x = 45x
(15 + 45x + 15x2 + 30x2 + 30x3) = 0

Combine like terms: 15x2 + 30x2 = 45x2
(15 + 45x + 45x2 + 30x3) = 0

Solving
15 + 45x + 45x2 + 30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(1 + 3x + 3x2 + 2x3) = 0

Ignore the factor 15.

Subproblem 1

Set the factor '(1 + 3x + 3x2 + 2x3)' equal to zero and attempt to solve: Simplifying 1 + 3x + 3x2 + 2x3 = 0 Solving 1 + 3x + 3x2 + 2x3 = 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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