SOLUTION: How 5x+2=2x² transform into standard form?

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Question 889913: How 5x+2=2x² transform into standard form?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
First put into general form.

2x%5E2-5x-2=0
Factor the 2.
2%28x%5E2-%285%2F2%29x-1%29=0
The term which completes the square is %285%2F%282%2A2%29%29%5E2=%285%2F4%29%5E2, which you add and subtract inside the grouped expression.
2%28x%5E2-%285%2F2%29x%2B%285%2F4%29%5E2-%285%2F4%29%5E2-1%29=0
Factor the square trinomial part.
2%28%28x-%285%2F4%29%29%5E2-%285%2F4%29%5E2-%2816%2F16%29%29=0, combined step.
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2%28%28x-%285%2F4%29%29%5E2-%2825%2B16%29%2F16%29=0
2%28x-5%2F4%29%5E2-2%2841%2F16%29=0
highlight%282%28x-5%2F4%29%5E2-41%2F8=0%29
This is standard form.