Question

4x^2-7x=15
Solve by factoring and please please please explain or show the work

Answer 1

x=3 and x=-1.25

Explanation:

4x^2-7x=15

subtract 15 from each side:

4x^2-7x-15=0

factor (trying different numbers that the sum is 7 and the quotient is 15)

(2x-6 )(2x+2.5 )=0

2x-6=0 add 6 to each side

2x=6

x=3

2x+2.5=0 subtract 2.5 from each side

2x=-2.5

x=-1.25