Four times a number is equal to five times the same number plus five. What is the number?
1 answer:
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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