SOLUTION: I need assistance with a problem 9x^2-18x=-3 and the break down of problem 2x^2+5x-8=0

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Question 948929: I need assistance with a problem 9x^2-18x=-3
and the break down of problem 2x^2+5x-8=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
9x%5E2-18x=-3
9x%5E2-18x%2B3=0
Complete the square.
9%28x%5E2-2x%29%2B3=0
9%28x%5E2-2x%2B1%29%2B3=9%281%29
9%28x-1%29%5E2=9-3
9%28x-1%29%5E2=6
3%28x-1%29=0+%2B-+sqrt%286%29
x-1=0+%2B-+sqrt%286%29%2F3
x=1+%2B-+sqrt%286%29%2F3
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.
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2x%5E2%2B5x-8=0
2%28x%5E2%2B%285%2F2%29x%29-8=0
2%28x%5E2%2B%285%2F2%29x%2B%285%2F4%29%5E2%29-8=2%285%2F4%29%5E2
2%28x%2B5%2F4%29%5E2=25%2F8%2B8
2%28x%2B5%2F4%29%5E2=25%2F8%2B64%2F8
2%28x%2B5%2F4%29%5E2=89%2F8
%28x%2B5%2F4%29%5E2=89%2F16
x%2B5%2F4=0+%2B-+sqrt%2889%29%2F4
x=-5%2F4+%2B-+sqrt%2889%29%2F4