D(x)=x^7+2*x^5+5*x

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Solution for D(x)=x^7+2*x^5+5*x equation: 


Simplifying
D(x) = x7 + 2x5 + 5x

Multiply D * x
xD = x7 + 2x5 + 5x

Reorder the terms:
xD = 5x + 2x5 + x7

Solving
xD = 5x + 2x5 + x7

Solving for variable 'x'.

Reorder the terms:
-5x + xD + -2x5 + -1x7 = 5x + 2x5 + x7 + -5x + -2x5 + -1x7

Reorder the terms:
-5x + xD + -2x5 + -1x7 = 5x + -5x + 2x5 + -2x5 + x7 + -1x7

Combine like terms: 5x + -5x = 0
-5x + xD + -2x5 + -1x7 = 0 + 2x5 + -2x5 + x7 + -1x7
-5x + xD + -2x5 + -1x7 = 2x5 + -2x5 + x7 + -1x7

Combine like terms: 2x5 + -2x5 = 0
-5x + xD + -2x5 + -1x7 = 0 + x7 + -1x7
-5x + xD + -2x5 + -1x7 = x7 + -1x7

Combine like terms: x7 + -1x7 = 0
-5x + xD + -2x5 + -1x7 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + D + -2x4 + -1x6) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-5 + D + -2x4 + -1x6)' equal to zero and attempt to solve:

Simplifying
-5 + D + -2x4 + -1x6 = 0

Solving
-5 + D + -2x4 + -1x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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