log(4x^2)=log(11x-6)

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Solution for log(4x^2)=log(11x-6) equation: 


Simplifying
log(4x2) = log(11x + -6)

Remove parenthesis around (4x2)
glo * 4x2 = log(11x + -6)

Reorder the terms for easier multiplication:
4glo * x2 = log(11x + -6)

Multiply glo * x2
4glox2 = log(11x + -6)

Reorder the terms:
4glox2 = glo(-6 + 11x)
4glox2 = (-6 * glo + 11x * glo)
4glox2 = (-6glo + 11glox)

Solving
4glox2 = -6glo + 11glox

Solving for variable 'g'.

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

Add '6glo' to each side of the equation.
6glo + 4glox2 = -6glo + 6glo + 11glox

Combine like terms: -6glo + 6glo = 0
6glo + 4glox2 = 0 + 11glox
6glo + 4glox2 = 11glox

Add '-11glox' to each side of the equation.
6glo + -11glox + 4glox2 = 11glox + -11glox

Combine like terms: 11glox + -11glox = 0
6glo + -11glox + 4glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(6 + -11x + 4x2) = 0

Factor a trinomial.
glo((3 + -4x)(2 + -1x)) = 0


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Add '4x' to each side of the equation.
-4x + 4x = -3 + 4x

Combine like terms: -4x + 4x = 0
0 = -3 + 4x

Simplifying
0 = -3 + 4x

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Add 'x' to each side of the equation.
-1x + x = -2 + x

Combine like terms: -1x + x = 0
0 = -2 + x

Simplifying
0 = -2 + x

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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