5r^2+10r+51=-2

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Solution for 5r^2+10r+51=-2 equation: 



5r^2+10r+51=-2

We move all terms to the left:

5r^2+10r+51-(-2)=0

We add all the numbers together, and all the variables

5r^2+10r+53=0

a = 5; b = 10; c = +53;
Δ = b2-4ac
Δ = 102-4·5·53
Δ = -960
Delta is less than zero, so there is no solution for the equation

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