SOLUTION: Solve. {{{3x-7x=0 }}} {{{x^2+4=4x }}} {{{ Thank YOU }}}

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Question 152268: Solve. 3x-7x=0+ x%5E2%2B4=4x+
+Thank+YOU+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1



3x-7x=0 Start with the given equation.


-4x=0 Combine like terms on the left side.


x=%280%29%2F%28-4%29 Divide both sides by -4 to isolate x.


x=0 Reduce.


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Answer:

So the answer is x=0




# 2



x%5E2%2B4=4x Start with the given equation.


x%5E2%2B4-4x=0 Subtract 4x from both sides.


x%5E2-4x%2B4=0 Rearrange the terms.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=1, b=-4, and c=4


Let's use the quadratic formula to solve for x


x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


x+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%281%29%284%29+%29%29%2F%282%281%29%29 Plug in a=1, b=-4, and c=4


x+=+%284+%2B-+sqrt%28+%28-4%29%5E2-4%281%29%284%29+%29%29%2F%282%281%29%29 Negate -4 to get 4.


x+=+%284+%2B-+sqrt%28+16-4%281%29%284%29+%29%29%2F%282%281%29%29 Square -4 to get 16.


x+=+%284+%2B-+sqrt%28+16-16+%29%29%2F%282%281%29%29 Multiply 4%281%29%284%29 to get 16


x+=+%284+%2B-+sqrt%28+0+%29%29%2F%282%281%29%29 Subtract 16 from 16 to get 0


x+=+%284+%2B-+sqrt%28+0+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%284+%2B-+0%29%2F%282%29 Take the square root of 0 to get 0.


x+=+%284+%2B+0%29%2F%282%29 or x+=+%284+-+0%29%2F%282%29 Break up the expression.


x+=+%284%29%2F%282%29 or x+=++%284%29%2F%282%29 Combine like terms.


x+=+2 or x+=+2 Simplify.


So the only answer is x+=+2