## Bubblez33 3 years ago Solving quadratics by factoring, solve equaton -20x^2+14=-27x

1. gaara438125

first add 27x to each side -20x^2 +27x + 14 = 0

2. Bubblez33

-7x^2+1=0

3. gaara438125

oh no, you can't subtract -20x^2 and 27x one is x to the second power

4. Bubblez33

-20x^2-13x=0

5. gaara438125

it's -20x^2 + 27x + 14 = 0 the 27 has a variable of x which we don't know what is so we can't add or subtract with it unless another number has the same variable

6. Bubblez33

this algbra is confusing

7. gaara438125

ok, so if your adding or subtracting with a variable you need to have the same variable, but if your multiply or dividing it doesn't matter.

8. Bubblez33

Thanks for ur help

9. gaara438125

ok well we have -20x^2 +27x + 14 = 0 and ima pass it to @JakeV8 mainly because i forget this part, and i need sleep lol

10. Bubblez33

ok, thanks

11. Bubblez33

ok Jake from here i need to find the smaller value & the larger value

12. JakeV8

Sorry, I got kicked off the site and lost everything I had typed. This doesn't factor into something easy with integer values... -20x^2 +27x + 14 = 0 you can divide it all through by -20 to get: x^2 - (27/20)x + (14/20) = 0 But in my opinion, that's not much better. The solutions are x = -8/20 and x = 35/20 which both reduce to x = -2/5 and x = 7/4 that means you could have factored it as: (x + 2/5)(x - 7/4) = 0 If you can see how to easily get from the original quadratic equation to this factored form, then great. Personally, it doesn't seem easy or obvious to me, and if the problem hadn't stated to solve by factoring, I would have used the quadratic formula to get the solutions for x.

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