SOLUTION: Solve quad equation 2x^2-4x=-2x

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Question 460095: Solve quad equation
2x^2-4x=-2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

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


2x%5E2-4x%2B2x=0 Get every term to the left side.


2x%5E2-2x=0 Combine like terms.


Notice that the quadratic 2x%5E2-2x is in the form of Ax%5E2%2BBx%2BC where A=2, B=-2, and C=0


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-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%282%29%280%29+%29%29%2F%282%282%29%29 Plug in A=2, B=-2, and C=0


x+=+%282+%2B-+sqrt%28+%28-2%29%5E2-4%282%29%280%29+%29%29%2F%282%282%29%29 Negate -2 to get 2.


x+=+%282+%2B-+sqrt%28+4-4%282%29%280%29+%29%29%2F%282%282%29%29 Square -2 to get 4.


x+=+%282+%2B-+sqrt%28+4-0+%29%29%2F%282%282%29%29 Multiply 4%282%29%280%29 to get 0


x+=+%282+%2B-+sqrt%28+4+%29%29%2F%282%282%29%29 Subtract 0 from 4 to get 4


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


x+=+%282+%2B-+2%29%2F%284%29 Take the square root of 4 to get 2.


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


x+=+%284%29%2F%284%29 or x+=++%280%29%2F%284%29 Combine like terms.


x+=+1 or x+=+0 Simplify.


So the solutions are x+=+1 or x+=+0