Answer
$$x=-\frac{15}{2}$$
$$x=7$$
Work Step by Step
Let $x$ be the number $$x+2x^2=105$$ $$2x^2+x-105=0$$ $$(2x+15)(x-7)=0$$
Solving each parenthesis 1)$$2x+15=0$$ $$x=-\frac{15}{2}$$
2)$$x-7=0$$ $$x=7$$
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