Question

(2x + 3)(3x + 1) = 11x + 30

Solve for x

Answer 1

`x = (3√(2))/(2)~~~or~~~x = -(3√(2))/(2)`

Explanation:

(2x + 3)(3x + 1) = 11x + 30

6x^2 + 2x + 9x + 3 = 11x + 30

6x^2 + 11x + 3 = 11x + 30

Subtract 11x from both sides. Subtract 3 from both sides.

6x^2 = 27

Divide both sides by 6

x^2 = 9/2

`x = \sqrt{(9)/(2)}~~~or~~~x = -\sqrt{(9)/(2)}`

`x = (3)/(√(2))~~~or~~~x = -(3)/(√(2))`

`x = (3√(2))/(2)~~~or~~~x = -(3√(2))/(2)`

Answer 2

Explanation:

First, open the parentheses!

6x^2 + 2x + 9x + 3 = 11x + 30

6x^2 + 11x + 3 = 11x + 30

Now solve this equation:

6x^2 + 3 = 30

x^2 = 2

x = √2

Sorry...I'm not sure if this is correct but hope it helps!