2x(x - 5) = -(3x + 1)
Distributive property.
2x^2 - 10x = -3x - 1
Move all terms to one side.
Add 3x to both sides, and add 1 to both sides.
2x^2 - 7x + 1 = 0
AC method is not possible, so we will use the quadratic formula.
[tex]\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]
7 +/- √49 - 8 / 4
7 +/- √41 / 4
7 +/- 6.40 / 4
(7 + 6.40)/4 = 3.35
(7 - 6.40)/4 = 0.15
The values of x that make the equation true are x = 3.35, and x = 0.15.
