On Monday, 414 students went on a trip to the zoo. All 9 buses were filled and 9 students had to travel in cars. Write an equation to find the number of students on each bus. Use b for your variable. Do not solve for b."

Step-by-step explanation:

let the total number of students in each bus be 'b',

Total number of students in 9 buses= 9b

Total number of students in cars= 9

Hence, Total number of students= 9b+9

= 414

Number of students in each bus = (414-9)/9

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1