What is the solution to the equation 5 (x minus 6) = 2 (x + 3)?
x =

x = 12

Step-by-step explanation:

Solve for x:

5 (x - 6) = 2(x + 3)

Expand out terms of the left hand side:

5x - 30 = 2(x + 3)

Expand out terms of the right hand side:

5x - 30 = 2x + 6

Subtract 2x from both sides:

(5x - 2x) - 30 = (2x - 2x) + 6

5x - 2x = 3x:

3x - 30 = (2x - 2x) + 6

2x - 2x = 0:

3x - 30 = 6

Add 30 to both sides:

3x + (30 - 30) = 30 + 6

30 - 30 = 0:

3x = 6 + 30

6 + 30 = 36:

3x = 36

Divide both sides of 3x = 36 by 3:

x = 12

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.