M(x)=7ln(x^7+5x^3)-4x^10

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Solution for M(x)=7ln(x^7+5x^3)-4x^10 equation: 


Simplifying
M(x) = 7ln(x7 + 5x3) + -4x10

Multiply M * x
xM = 7ln(x7 + 5x3) + -4x10

Reorder the terms:
xM = 7ln(5x3 + x7) + -4x10
xM = (5x3 * 7ln + x7 * 7ln) + -4x10
xM = (35lnx3 + 7lnx7) + -4x10

Solving
xM = 35lnx3 + 7lnx7 + -4x10

Solving for variable 'x'.

Reorder the terms:
-35lnx3 + -7lnx7 + xM + 4x10 = 35lnx3 + 7lnx7 + -4x10 + -35lnx3 + -7lnx7 + 4x10

Reorder the terms:
-35lnx3 + -7lnx7 + xM + 4x10 = 35lnx3 + -35lnx3 + 7lnx7 + -7lnx7 + -4x10 + 4x10

Combine like terms: 35lnx3 + -35lnx3 = 0
-35lnx3 + -7lnx7 + xM + 4x10 = 0 + 7lnx7 + -7lnx7 + -4x10 + 4x10
-35lnx3 + -7lnx7 + xM + 4x10 = 7lnx7 + -7lnx7 + -4x10 + 4x10

Combine like terms: 7lnx7 + -7lnx7 = 0
-35lnx3 + -7lnx7 + xM + 4x10 = 0 + -4x10 + 4x10
-35lnx3 + -7lnx7 + xM + 4x10 = -4x10 + 4x10

Combine like terms: -4x10 + 4x10 = 0
-35lnx3 + -7lnx7 + xM + 4x10 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-35lnx2 + -7lnx6 + M + 4x9) = 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 '(-35lnx2 + -7lnx6 + M + 4x9)' equal to zero and attempt to solve:

Simplifying
-35lnx2 + -7lnx6 + M + 4x9 = 0

Reorder the terms:
M + -35lnx2 + -7lnx6 + 4x9 = 0

Solving
M + -35lnx2 + -7lnx6 + 4x9 = 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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