Answer:
[tex] x = \dfrac{3\sqrt{2}}{2}~~~or~~~x = -\dfrac{3\sqrt{2}}{2} [/tex]
Step-by-step 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
[tex] x = \sqrt{\frac{9}{2}}~~~or~~~x = -\sqrt{\frac{9}{2}} [/tex]
[tex] x = \frac{3}{\sqrt{2}}~~~or~~~x = -\frac{3}{\sqrt{2}} [/tex]
[tex] x = \dfrac{3\sqrt{2}}{2}~~~or~~~x = -\dfrac{3\sqrt{2}}{2} [/tex]
