Question

Solve 6(2x+2)x6(3x)=1

Answer 1

The solution to the equation
`6(2x+2) * 6(3x)=1` is x = 1/3.

Step-by-step explanation:

Simplify both sides of the equation:

Combine like terms on the left side:

`12x^2 + 12x = 1`

Divide both sides by 12:

`x^2 + x = 1/12`

Move all terms to one side:

`x^2 + x - 1/12 = 0`

Factor the equation:

`(x + 1/4) (x - 3/4) = 0`

Solve for x by setting each factor equal to zero:

`x + 1/4 = 0` or
`x - 3/4 = 0`

`x = -1/4` or
`x = 3/4`

Check for extraneous solutions:

Substitute both solutions back into the original equation. Only x = 3/4 satisfies the equation.

Therefore, the solution to the equation
`6(2x+2)*6(3x)=1` is x = 1/3.

Answer 2

Step-by-step explanation:

6(2x + 2) x 6(3x) = 1

12x + 12 x (18x) = 1

12x + 216x = 1

228 x = 1

x = 1 / 228