select the two values of x that are roots of this equation.
2x - 3 = -5x2

x = -1    or  x =

Step-by-step explanation:

2x - 3 = -5x²

This is a quadratic form of equation.

We will start by rearranging the equation, we will move all the variable to the left-hand side of the equation, which means the right-hand side of the equation will become zero.

Add 5x² to both-side of the equation

2x - 3 +  5x² =   -5x² + 5x²

2x - 3  + 5x²  =  0

5x² + 2x -3 = 0

Now we can now proceed to solve;

Find two factors such that it sum will give  5 and its product will give -15

The two numbers are 5 and -3 (That is 5×-3 = -15 and 5 +(-3)=2)

We will replace 2x  by 5x and -3x

So that our equation becomes;

5x² + 5x -3x-3 = 0

We will now factorize

( 5x² + 5x) (-3x -3 )= 0

On the first bracket, 5x is common and so it  will be factored out and on the second bracket -3 is common and so it will be factored out

5x(x + 1) -3(x + 1) = 0

(x+1)(5x-3) = 0

Either x +1 = 0            ⇒    x = -1

or

5x - 3 = 0              

5x = 3

x =

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.