Answer:

Step-by-step explanation:
Complete question

Required
Solve for x
We have:

Collect like terms

Multiply through by 

Make x the subject

Answer:
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Given:
Number of trips = 7
Distance from the school to the museum = 36 miles.
To find:
Write and solve equations to find how many miles the bus driver drove for the 7 trips.
Solution:
Let x be the number of trips and y be the total number of miles the bus driver drove.
Distance from the school to the museum = 36 miles.
1 trip means from the school to the museum and then from the museum to the school.
Distance covered in 1 trip = 2×36 = 72 miles.
Distance covered in x trips = 72x miles.

Substitute x=7 in the above equation to find the total distance the bus driver drove for the 7 trips.


Therefore, the bus driver drove 504 miles for the 7 trips.
The solution is x = 1 and x = -3
<em><u>Solution:</u></em>
Given that we have to solve the given equation by factoring
Given equation is:


Find a pair of integers whose product is c and and whose sum is b

Now find, a pair of integers whose sum is -2 and product is -3
The integers that satisfies this condition is -1 and 3
When we add - 1 and 3 we get 2
When multiply -1 and 3 we get -3
Thus the pair of integers are -1 and 3
Write the factored form using these integers.

The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0
Set the factors equal to 0

x = 1 and x = -3
Thus the solution is x = 1 and x = -3