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

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


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

Reorder the terms:
0 = x2(3 + x) + 5(x + 3)
0 = (3 * x2 + x * x2) + 5(x + 3)
0 = (3x2 + x3) + 5(x + 3)

Reorder the terms:
0 = 3x2 + x3 + 5(3 + x)
0 = 3x2 + x3 + (3 * 5 + x * 5)
0 = 3x2 + x3 + (15 + 5x)

Reorder the terms:
0 = 15 + 5x + 3x2 + x3

Solving
0 = 15 + 5x + 3x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + -15 = -15
-15 + -5x + -3x2 + -1x3 = 15 + 5x + 3x2 + x3 + -15 + -5x + -3x2 + -1x3

Reorder the terms:
-15 + -5x + -3x2 + -1x3 = 15 + -15 + 5x + -5x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 15 + -15 = 0
-15 + -5x + -3x2 + -1x3 = 0 + 5x + -5x + 3x2 + -3x2 + x3 + -1x3
-15 + -5x + -3x2 + -1x3 = 5x + -5x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 5x + -5x = 0
-15 + -5x + -3x2 + -1x3 = 0 + 3x2 + -3x2 + x3 + -1x3
-15 + -5x + -3x2 + -1x3 = 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x2 + -3x2 = 0
-15 + -5x + -3x2 + -1x3 = 0 + x3 + -1x3
-15 + -5x + -3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-15 + -5x + -3x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 5x + 3x2 + x3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(15 + 5x + 3x2 + x3)' equal to zero and attempt to solve:

Simplifying
15 + 5x + 3x2 + x3 = 0

Solving
15 + 5x + 3x2 + 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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