How many solutions does the equation 4x + 2(x - 5) = 3(2x - 4) have? А.
no solution
B. exactly one solution
C. at least two solutions
D. infinitely many solutions

C

Step-by-step explanation:

remove () and calculate the product

8x*(x-5)=3(2x-4)

distribute 8x through the ()

8x^2-40x=6x-12

move the expression to the left-hand side and change its sign

8x^2-40x-6x+12=0

collect like terms

8x^2-46x+12=0

determine the number of solutions using the discriminant D=b^2-4 a c

D=(-46)^2-4*8*12

simply the expression

D=1732

Since D>0, the quadratic equations has 2 real solutions

a

step-by-step explanation: