og(2x^2+4x)=log(15x+90)

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Solution for og(2x^2+4x)=log(15x+90) equation: 


Simplifying
og(2x2 + 4x) = log(15x + 90)

Reorder the terms:
go(4x + 2x2) = log(15x + 90)
(4x * go + 2x2 * go) = log(15x + 90)
(4gox + 2gox2) = log(15x + 90)

Reorder the terms:
4gox + 2gox2 = glo(90 + 15x)
4gox + 2gox2 = (90 * glo + 15x * glo)
4gox + 2gox2 = (90glo + 15glox)

Solving
4gox + 2gox2 = 90glo + 15glox

Solving for variable 'g'.

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

Add '-90glo' to each side of the equation.
4gox + -90glo + 2gox2 = 90glo + -90glo + 15glox

Reorder the terms:
-90glo + 4gox + 2gox2 = 90glo + -90glo + 15glox

Combine like terms: 90glo + -90glo = 0
-90glo + 4gox + 2gox2 = 0 + 15glox
-90glo + 4gox + 2gox2 = 15glox

Add '-15glox' to each side of the equation.
-90glo + 4gox + -15glox + 2gox2 = 15glox + -15glox

Reorder the terms:
-90glo + -15glox + 4gox + 2gox2 = 15glox + -15glox

Combine like terms: 15glox + -15glox = 0
-90glo + -15glox + 4gox + 2gox2 = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-90l + -15lx + 4x + 2x2) = 0


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

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(-90l + -15lx + 4x + 2x2)' equal to zero and attempt to solve:

Simplifying
-90l + -15lx + 4x + 2x2 = 0

Solving
-90l + -15lx + 4x + 2x2 = 0

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

Add '90l' to each side of the equation.
-90l + -15lx + 4x + 90l + 2x2 = 0 + 90l

Reorder the terms:
-90l + 90l + -15lx + 4x + 2x2 = 0 + 90l

Combine like terms: -90l + 90l = 0
0 + -15lx + 4x + 2x2 = 0 + 90l
-15lx + 4x + 2x2 = 0 + 90l
Remove the zero:
-15lx + 4x + 2x2 = 90l

Add '15lx' to each side of the equation.
-15lx + 4x + 15lx + 2x2 = 90l + 15lx

Reorder the terms:
-15lx + 15lx + 4x + 2x2 = 90l + 15lx

Combine like terms: -15lx + 15lx = 0
0 + 4x + 2x2 = 90l + 15lx
4x + 2x2 = 90l + 15lx

Add '-4x' to each side of the equation.
4x + -4x + 2x2 = 90l + 15lx + -4x

Combine like terms: 4x + -4x = 0
0 + 2x2 = 90l + 15lx + -4x
2x2 = 90l + 15lx + -4x

Add '-2x2' to each side of the equation.
2x2 + -2x2 = 90l + 15lx + -4x + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 90l + 15lx + -4x + -2x2

Simplifying
0 = 90l + 15lx + -4x + -2x2

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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