0=x^5(x+7)+5(x+7)

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Solution for 0=x^5(x+7)+5(x+7) equation: 


Simplifying
0 = x5(x + 7) + 5(x + 7)

Reorder the terms:
0 = x5(7 + x) + 5(x + 7)
0 = (7 * x5 + x * x5) + 5(x + 7)
0 = (7x5 + x6) + 5(x + 7)

Reorder the terms:
0 = 7x5 + x6 + 5(7 + x)
0 = 7x5 + x6 + (7 * 5 + x * 5)
0 = 7x5 + x6 + (35 + 5x)

Reorder the terms:
0 = 35 + 5x + 7x5 + x6

Solving
0 = 35 + 5x + 7x5 + x6

Solving for variable 'x'.

Combine like terms: 0 + -35 = -35
-35 + -5x + -7x5 + -1x6 = 35 + 5x + 7x5 + x6 + -35 + -5x + -7x5 + -1x6

Reorder the terms:
-35 + -5x + -7x5 + -1x6 = 35 + -35 + 5x + -5x + 7x5 + -7x5 + x6 + -1x6

Combine like terms: 35 + -35 = 0
-35 + -5x + -7x5 + -1x6 = 0 + 5x + -5x + 7x5 + -7x5 + x6 + -1x6
-35 + -5x + -7x5 + -1x6 = 5x + -5x + 7x5 + -7x5 + x6 + -1x6

Combine like terms: 5x + -5x = 0
-35 + -5x + -7x5 + -1x6 = 0 + 7x5 + -7x5 + x6 + -1x6
-35 + -5x + -7x5 + -1x6 = 7x5 + -7x5 + x6 + -1x6

Combine like terms: 7x5 + -7x5 = 0
-35 + -5x + -7x5 + -1x6 = 0 + x6 + -1x6
-35 + -5x + -7x5 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
-35 + -5x + -7x5 + -1x6 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(35 + 5x + 7x5 + x6) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(35 + 5x + 7x5 + x6)' equal to zero and attempt to solve:

Simplifying
35 + 5x + 7x5 + x6 = 0

Solving
35 + 5x + 7x5 + x6 = 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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