SOLUTION: Please help me with this problem. Thank you!! 2t^2+7t=4 Thank you!!!

Question 74972: Please help me with this problem. Thank you!!
2t^2+7t=4
Thank you!!!
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
set = to 0

Factor however you know how, I'm using grouping or ac method.
2t^2+__t ___t-4=0
Fill in the blanks with two numbers that multiply to give you the product of the first and last coefficients (2*-4=-8), but add to give you the middle coefficient (7). 8*-1=-8 and 8+(-1)=7
Factor the GCF out of the first two terms and the last two terms:
factor out (t+4)
set each parentheses=0 and solve for t.
t+4=0 or 2t-1=0
t+4-4=0-4 or 2t-1+1=0+1
t=-4 or 2t=1
t=-4 or 2t/2=1/2
t=-4 or t=1/2
Check by letting t=-4 and t=1/2 and see if both sides equal.
for t=-4

This one works.
for t=1/2

This one works too.
Happy Calculating!!!!
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