2x^2+19x+60=0

Simple and best practice solution for 2x^2+19x+60=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x^2+19x+60=0 equation:


Simplifying
2x2 + 19x + 60 = 0

Reorder the terms:
60 + 19x + 2x2 = 0

Solving
60 + 19x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
30 + 9.5x + x2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 9.5x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + 9.5x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 9.5x + x2 = 0 + -30
9.5x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
9.5x + x2 = -30

The x term is 9.5x.  Take half its coefficient (4.75).
Square it (22.5625) and add it to both sides.

Add '22.5625' to each side of the equation.
9.5x + 22.5625 + x2 = -30 + 22.5625

Reorder the terms:
22.5625 + 9.5x + x2 = -30 + 22.5625

Combine like terms: -30 + 22.5625 = -7.4375
22.5625 + 9.5x + x2 = -7.4375

Factor a perfect square on the left side:
(x + 4.75)(x + 4.75) = -7.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (6x-147)x=180 | | (x+2)+4=-5(x-1)-2 | | 4.5-1.9=20.1-2m | | 4x-9-2x+5= | | 8x+12=2(4x-5) | | 250+14(22)=x | | 4(x^2)y-8y=5 | | 43+3d=9d | | x^2+2x+11=x^2+7x+11 | | (10x+2)+65=20x+7 | | -3x+5=-7 | | 8(4)+4= | | 4x^2y-8y=5 | | -11-5a=6(5a-4) | | -11=61-6p | | -19x=-11x | | 43+2=6x-x | | 4n+7=-1 | | -19x=-11 | | 3x+2(2x-4)=20 | | 2-15x=-3 | | -x/5=-2.6 | | x^4-64x=0 | | 12(4)-12= | | -4x-30=-2x-18 | | 4m-4a=4m | | .2x-2=-4 | | 41=0.40x-7 | | 5v^2+39v+28=0 | | -8x+60=-4x+44 | | x+(x+1)=35 | | 15x+56=10x+31 |

Equations solver categories