use the quadratic formula to solve the equation

Question

(m+4)(4m-2)=5(m+3)-10

Answer 1

 Darinka,

 

1 - multiply them out

(m+4)(4m-2)=5(m+3)-10

4m²+14m-8=5m+15-10

1 - collect the like terms

4m²+14m-8=5m+5

4m²+14m-5m-8-5=5m+5-5m-5

4m²+9m-13=0

a=4

b=9

c=-13

-b+/-sqrt(b²-4ac)   quadratic formula

          2a

Answer 2

4m²+16m-2m-8=5m+15-10

4m²+14m-8=5m+5

4m²+14m-8-5m-5=0

4m²+9m-13=0

factor

(4m+13)(m-1)=0

4m+13=0

4m=-13

m=-13/4

m-1=0

m=1