ln(2x-1)ln(9-4x)=0

Simple and best practice solution for ln(2x-1)ln(9-4x)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for ln(2x-1)ln(9-4x)=0 equation: 


Simplifying
ln(2x + -1) * ln(9 + -4x) = 0

Reorder the terms:
ln(-1 + 2x) * ln(9 + -4x) = 0

Reorder the terms for easier multiplication:
ln * ln(-1 + 2x)(9 + -4x) = 0

Multiply ln * ln
l2n2(-1 + 2x)(9 + -4x) = 0

Multiply (-1 + 2x) * (9 + -4x)
l2n2(-1(9 + -4x) + 2x * (9 + -4x)) = 0
l2n2((9 * -1 + -4x * -1) + 2x * (9 + -4x)) = 0
l2n2((-9 + 4x) + 2x * (9 + -4x)) = 0
l2n2(-9 + 4x + (9 * 2x + -4x * 2x)) = 0
l2n2(-9 + 4x + (18x + -8x2)) = 0

Combine like terms: 4x + 18x = 22x
l2n2(-9 + 22x + -8x2) = 0
(-9 * l2n2 + 22x * l2n2 + -8x2 * l2n2) = 0
(-9l2n2 + 22l2n2x + -8l2n2x2) = 0

Solving
-9l2n2 + 22l2n2x + -8l2n2x2 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'l2n2'.
l2n2(-9 + 22x + -8x2) = 0

Factor a trinomial.
l2n2((-9 + 4x)(1 + -2x)) = 0


Subproblem 1
Set the factor 'l2n2' equal to zero and attempt to solve:

Simplifying
l2n2 = 0

Solving
l2n2 = 0

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

Simplifying
l2n2 = 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 '(-9 + 4x)' equal to zero and attempt to solve:

Simplifying
-9 + 4x = 0

Solving
-9 + 4x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 0 + 9
4x = 0 + 9

Combine like terms: 0 + 9 = 9
4x = 9

Add '-4x' to each side of the equation.
4x + -4x = 9 + -4x

Combine like terms: 4x + -4x = 0
0 = 9 + -4x

Simplifying
0 = 9 + -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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

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

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

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

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

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

Simplifying
0 = -1 + 2x

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.

See similar equations:

| 7(x-7)=-98 | | x+4=x-9 | | 17=-6v-2 | | -6=-8m+8-6 | | -(3m-8)=12-m | | -5n+6n=2 | | 5m-4m=8 | | -2x+8x=-18 | | 9=-12t+3 | | 5y-6=2y-30 | | a+b=21 | | -13=-2y+7 | | -12t-3=9 | | -(3m-8)=13-m | | 6(x-3)+3=2x+4(-3+x) | | 3(4x-6)=2(6x+3) | | (-8x-5)=(-2-7x) | | 2x+[2x-(x-4)]=-[-(5-x)] | | 8x-3(2x-3)=-4(2-x)+3(x-4)-1 | | 6(x-3)=3+6x+3x | | 4x-17=3x-12 | | 9-5(3a+5)= | | y-7.34=9.06 | | y=x+1.75 | | 0=3z+26 | | 15x+22y=4 | | 0.7x=5.6 | | 8w+5=19 | | 4-3(2y-4)= | | -16=5u+14 | | 3r+3/r+1= | | 11t=6 |

Equations solver categories