6x^2 -14x = 0 , Using factoring method.
1 answer:
Take out the highest common factor.
The highest common factor between 6 (which 2*3) and 14 (which 2*7) is 2
The highest common factor between x^2 (which is x * x) and x(which is x) is x.
2x(3x - 7) = 0
Now either 2x = 0 in which case x = 0
or
3x - 7 = 0
3x = 7
x = 7/3
The graph below shows you the answers to where 6x^2 - 14x cuts the x axis is below.
The highest common factor between 6 (which 2*3) and 14 (which 2*7) is 2
The highest common factor between x^2 (which is x * x) and x(which is x) is x.
2x(3x - 7) = 0
Now either 2x = 0 in which case x = 0
or
3x - 7 = 0
3x = 7
x = 7/3
The graph below shows you the answers to where 6x^2 - 14x cuts the x axis is below.
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Answer:
The step 4 is not what he should have done. But the wrong is step 5, because if he added -2x both sides, it would give the following equation:
and not
Note that in step 4 he should have added 2x and not -2x to both sides, but we still have the equality. The problem is that step 5 is totally wrong.
I don't know what answer is expected to this question, but I would mark step 5, because this is mathematically wrong.
Solving the equation
Using distribution
Add both sides
Add 12 both sides
Divide both sides by 5