Answer
$$x=-4$$
$$x=1$$
Work Step by Step
We have $$3x^2+2x=12-7x$$
Sending all the terms to the left side of the equation $$3x^2+2x+7x-12=0$$ $$3x^2+9x-12=0$$
Factorizing $$(3x+12)(x-1)=0$$
Solving each parenthesis 1) $$3x+12=0$$ $$3x=-12$$ $$x=-4$$
2) $$x-1=0$$ $$x=1$$