8x^3(x+2)=x^5(7-x)

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Solution for 8x^3(x+2)=x^5(7-x) equation: 


Simplifying
8x3(x + 2) = x5(7 + -1x)

Reorder the terms:
8x3(2 + x) = x5(7 + -1x)
(2 * 8x3 + x * 8x3) = x5(7 + -1x)
(16x3 + 8x4) = x5(7 + -1x)
16x3 + 8x4 = (7 * x5 + -1x * x5)
16x3 + 8x4 = (7x5 + -1x6)

Solving
16x3 + 8x4 = 7x5 + -1x6

Solving for variable 'x'.

Reorder the terms:
16x3 + 8x4 + -7x5 + x6 = 7x5 + -7x5 + -1x6 + x6

Combine like terms: 7x5 + -7x5 = 0
16x3 + 8x4 + -7x5 + x6 = 0 + -1x6 + x6
16x3 + 8x4 + -7x5 + x6 = -1x6 + x6

Combine like terms: -1x6 + x6 = 0
16x3 + 8x4 + -7x5 + x6 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(16 + 8x + -7x2 + x3) = 0


Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(16 + 8x + -7x2 + x3)' equal to zero and attempt to solve:

Simplifying
16 + 8x + -7x2 + x3 = 0

Solving
16 + 8x + -7x2 + 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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