5x(6x+28)=-23
i don't understand

Solve the equation for  x  by finding  a,  b, and  c  of the quadratic then applying the quadratic formula.

Exact Form:

x  =  −  70  ±  √4210/30

Decimal Form:

x  =  −0.03

Step-by-step explanation:

5x(6x+28)=−23

Step 1: Simplify both sides of the equation.

30x2+140x=−23

Step 2: Subtract -23 from both sides.

30x2+140x−(−23)=−23−(−23)

30x2+140x+23=0

Step 3: Use quadratic formula with a=30, b=140, c=23.

x=−b±√b2−4ac/2a

x=−(140)±√(140)2−4(30)(23)/2(30)

x=−140±√16840/60

x=−7/3+1/30√4210 or x=−7/3+−1/30√4210

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.