SOLUTION: Solveand check each of the following for X: A: (x/12)-(1/6)=[(2x-7)/12] B: [5/(x+6)]+[2/(x^2+7x+6)]=[3(x+1)]

Question 147259: Solveand check each of the following for X:
A: (x/12)-(1/6)=[(2x-7)/12]
B: [5/(x+6)]+[2/(x^2+7x+6)]=[3(x+1)]
Answer by Electrified_Levi(103) (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help,
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Solve and check each of the following for X:
A:
B:
.
First we will solve equation A
.
A:
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First, you have to get the same denominator for all the fractions, you have to change to
.
Now we can put in place of in the equation
.
A:
.
Now we can subtract on the left side
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A:
.
Now we will use cross multiplication to get rid of the fractions
.

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Now we will multiply the both sides
.

.
Now we can solve for "x"

x = "5"
We can check by replacing "x" with "5" in the original equation
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A:
.
A:
.
W have to change to again
.
A:
.
A:
.
A:
.
The answer to Equation A: is "5"
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Now we will solve equation B
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B:
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You don't have to change the right side, but you need to change to
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has factors of (x+1) and (x+6) (the factors of 6 add up to 7)
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We need to multiply by to make the same denominator
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B:
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Now we need to multiply 5(x+1)
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B:
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Now we can add the left side
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B:
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B:
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Now we will multiply the right side using the distributive property
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B:
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Now we will use cross multiplication
.

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It will end up to be
.

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We will now put everything on one side
.

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It is a cubic equation, the best way to get the answer is to use a cubic equation calculator on the computer. ( You can't really memorize the cubic equation formula, because it is way to big, and complicated)
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The three answers to equation "B" are rounded to
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x(1) = -0.47075530247265
x(2) = -6.29117730768554
x(3) = -1.2380673898418
.
Hope I helped, Levi
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