Explain how to use factoring to solve the equation: 2x^2 + 5x = 3 ...

Answer: 1/2 or - 3

Step-by-step explanation:

2x2+5x=3

Bring 3 to the other side

2x2+5x-3=0

Factorise

Factors of - 6 that will give + 5 = + 6 &-1

2x2+6x-x-3=0

2x (x+3) - 1 (x+3) = 0

(2x-1) (x+3) = 0

2x-1=0

2x=1

X=1/2 or

X+3=0

X = - 3

Therefore

X=1/2 or - 3

x = 1/2 x=-3

Step-by-step explanation:

2x^2 + 5x = 3

Subtract 3 from each side

2x^2 + 5x - 3 = 3-3

2x^2 + 5x - 3=0

(2x) (x)

Since we need to multiply to - 3, the factors are

-1,3 or 1.-3

We need to add to 5

We will want to multiply the 2 and 3 and this will need to be positive

(2x) (x + 3)

The 1 will be negative

(2x - 1) (x + 3) = 0

Using the zero product property

(2x - 1) = 0 (x + 3) = 0

2x-1+1=0+1 x+3-3=0-3

2x = 1 x=-3

x = 1/2 x=-3