Why don't write it like this:
2x^2 + 13x + 7 =0
Solve for x:
2 x^2+13 x+7 = 0
Divide both sides by 2:
x^2+(13 x)/2+7/2 = 0
Subtract 7/2 from both sides:
x^2+(13 x)/2 = -7/2
Add 169/16 to both sides:
x^2+(13 x)/2+169/16 = 113/16
Write the left hand side as a square:
(x+13/4)^2 = 113/16
Take the square root of both sides:
x+13/4 = sqrt(113)/4 or x+13/4 = -sqrt(113)/4
Subtract 13/4 from both sides:
x = sqrt(113)/4-13/4 or x+13/4 = -sqrt(113)/4
Subtract 13/4 from both sides:
Answer: | x = sqrt(113)/4-13/4 or x = -13/4-sqrt(113)/4
