How do you solve #x/2-2/(3x)=2/3#?
The equation should first be rearranged so that it looks like this:
Give the denominator of the equation's right hand side a value of 6.
Once you have a linear equation, cross multiply:
This equation results from dividing the equation by three:
Factor the equation now:
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To solve the equation x/2 - 2/(3x) = 2/3, we can follow these steps:
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Multiply the entire equation by the least common denominator (LCD) of 6x to eliminate the fractions. This gives us: 3x^2 - 4(2) = 4x.
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Simplify the equation: 3x^2 - 8 = 4x.
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Rearrange the equation to bring all terms to one side: 3x^2 - 4x - 8 = 0.
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Factor the quadratic equation: (3x + 2)(x - 4) = 0.
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Set each factor equal to zero and solve for x:
- 3x + 2 = 0 --> 3x = -2 --> x = -2/3.
- x - 4 = 0 --> x = 4.
Therefore, the solutions to the equation are x = -2/3 and x = 4.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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