2x^2+19x+98=0

Simple and best practice solution for 2x^2+19x+98=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+98=0 equation:


Simplifying
2x2 + 19x + 98 = 0

Reorder the terms:
98 + 19x + 2x2 = 0

Solving
98 + 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'.
49 + 9.5x + x2 = 0

Move the constant term to the right:

Add '-49' to each side of the equation.
49 + 9.5x + -49 + x2 = 0 + -49

Reorder the terms:
49 + -49 + 9.5x + x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 9.5x + x2 = 0 + -49
9.5x + x2 = 0 + -49

Combine like terms: 0 + -49 = -49
9.5x + x2 = -49

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 = -49 + 22.5625

Reorder the terms:
22.5625 + 9.5x + x2 = -49 + 22.5625

Combine like terms: -49 + 22.5625 = -26.4375
22.5625 + 9.5x + x2 = -26.4375

Factor a perfect square on the left side:
(x + 4.75)(x + 4.75) = -26.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -3x=4.5 | | -6/7b=42 | | a/-4=12 | | x/7=10.9 | | -2=x/-4 | | 25x-9=0 | | x^2+36x+572=0 | | -2/5w=12 | | 4(x-4)x=5(x-4)+4 | | 49/100-x^2=0 | | 5(3x^2-2y^2)+3x(x+3y^2)= | | 4x+x^2=77 | | -2[(m-1)(-3)-1]-(2)=-(-2-4m) | | -4/3c-7/6=-7/2-2c | | 7.99=3.14*2 | | 5(p+9)= | | 1/3(10x-7)=4 | | 4x-4x+24=24 | | -15x+42=3x^2 | | 1.4s=4.2 | | -36.2k=-115.84 | | 2y+3(2y+8x)-3(8y+2x)= | | 5x(5x^2-40x+75)=0 | | 1/25x^2=36 | | 10(9y)= | | 12x+5=9x-6 | | 7.4p=88.8 | | -90=6b | | -0.03q=0.9 | | -6x=144 | | 30x^2+6xy=0 | | V/-8=v+4 |

Equations solver categories