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BartSMP [9]
3 years ago
8

Find all solutions to the given equation: (x − 3)(x +2) = 0

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

x = -2,3

Step-by-step explanation:

Given: (x − 3)(x +2) = 0

To find the solution of above factor.

It is already in factor form.

Two factors are (x-3) and (x+2)

So, set each factor to 0 and solve for x

(x − 3)  = 0     or     (x +2)  = 0

x - 3 = 0   or   x + 2 = 0

x = 3   or  x = -2

Hence, The solution of the (x − 3)(x +2) = 0 are 3 and -2

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<em>Comment on equation solving</em>

If there are parentheses or fractions, it usually works well to eliminate those. The distributive property is used to eliminate parentheses. Fractions can be eliminated by multiplying the equation by the denominator. (We mean 'multiply both sides of the equation by the denominator'.) If you have excellent skill with arithmetic using fractions, you don't need to go to the trouble to eliminate them.

After the numbers in the equation are mainly integers or decimals, the next step is to look to see where the variable of interest is located. You want to do what it necessary to put all of the variable terms on one side of the equal sign, and everything else on the other side. The procedure generally is to decide what you don't want, and subtract that from both sides of the equation.

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