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anonymous · Answer

okay....first you have to move everything to one side..move the 14x +20 to the left.

anonymous · Answer

pull the x out
2x2=14x+20
4=14x+20
0=14x+16
x(14+16)
x(30)
30x

anonymous · Answer

so first, you have to make it in proper form, which is
2(x^2+7x-10) 
now do you see it?

anonymous · Answer

(x+2)(x-5)

anonymous · Answer

Because 5 times 2=10, and 5+2 equals 7. You just needed to rewrite your equation so it looks easier.

anonymous · Answer

so the final answer is (x+2)(x-5)

anonymous · Answer

oh i think you are going to have to do the quadratic equation

candyme · Answer

Okay, so when you move them over you will get $$2x^2-14x-20$$ This doesn't factor, so you need to use the quadratic formula or completing the square.
I'm going to do completing the square.
$$x^2-7x-10$$$$x^2-7x+... =10+...$$$$x^2-7x+\frac{ 49 }{ 4 }=10+\frac{49}{4}$$Factor/Add to Simplify$$(x-\frac{7}{2})^2=\frac{89}{4}$$ Take the Square Root of Both Sides$$ \sqrt{(x-\frac{7}{2})^2}=\pm \frac{\sqrt{89}}{\sqrt{4}}$$$$x-\frac{7}{2}= \pm \frac{\sqrt{89}}{2}$$$$x=\frac{7}{2} \pm \frac{\sqrt{89}}{2}$$
OR $$x=\frac{7\pm \sqrt{89}}{2} $$

candyme · Answer

That look right?

candyme · Answer

You're welcome! Glad I could help, let me know if you need anything else.

candyme · Answer

$$x=-3 \pm \sqrt{2}$$You are correct