Answer
$$x=-5$$
$$x=\frac{7}{2}$$
Work Step by Step
We have $$2x^2+3x=35$$
Sending all the terms to the left side of the equation $$2x^2+3x-35=0$$
Factorizing $$(x+5)(2x-7)=0$$
Solving each parenthesis 1) $$x+5=0$$ $$x=-5$$
2)$$2x-7=0$$ $$2x=7$$ $$x=\frac{7}{2}$$