20x+x*logx+logx=0

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Solution for 20x+x*logx+logx=0 equation:


Simplifying
20x + x * logx + logx = 0

Multiply x * glox
20x + glox2 + logx = 0

Reorder the terms:
glox + glox2 + 20x = 0

Solving
glox + glox2 + 20x = 0

Solving for variable 'g'.

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

Add '-20x' to each side of the equation.
glox + glox2 + 20x + -20x = 0 + -20x

Combine like terms: 20x + -20x = 0
glox + glox2 + 0 = 0 + -20x
glox + glox2 = 0 + -20x
Remove the zero:
glox + glox2 = -20x

Combine like terms: -20x + 20x = 0
glox + glox2 + 20x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(glo + glox + 20) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(glo + glox + 20)' equal to zero and attempt to solve: Simplifying glo + glox + 20 = 0 Reorder the terms: 20 + glo + glox = 0 Solving 20 + glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + glo + -20 + glox = 0 + -20 Reorder the terms: 20 + -20 + glo + glox = 0 + -20 Combine like terms: 20 + -20 = 0 0 + glo + glox = 0 + -20 glo + glox = 0 + -20 Combine like terms: 0 + -20 = -20 glo + glox = -20 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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