16x^2+8x+17=0

Simple and best practice solution for 16x^2+8x+17=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 16x^2+8x+17=0 equation:


Simplifying
16x2 + 8x + 17 = 0

Reorder the terms:
17 + 8x + 16x2 = 0

Solving
17 + 8x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
1.0625 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-1.0625' to each side of the equation.
1.0625 + 0.5x + -1.0625 + x2 = 0 + -1.0625

Reorder the terms:
1.0625 + -1.0625 + 0.5x + x2 = 0 + -1.0625

Combine like terms: 1.0625 + -1.0625 = 0.0000
0.0000 + 0.5x + x2 = 0 + -1.0625
0.5x + x2 = 0 + -1.0625

Combine like terms: 0 + -1.0625 = -1.0625
0.5x + x2 = -1.0625

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -1.0625 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -1.0625 + 0.0625

Combine like terms: -1.0625 + 0.0625 = -1
0.0625 + 0.5x + x2 = -1

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x^4-3x^2-3x+4=0 | | 10j^4-7j^2-6=0 | | 270+85x=112x | | 6w^2-9w-65=0 | | 8e^2x+5=22 | | 270x=112x | | 11c+21=34 | | (3-i)+(5-2i)=8-3i | | 45x+16=95 | | 7(3f+5)=-33 | | 7e^4x-1=7 | | -7s-6s=-16 | | x^2-43x+120=0 | | X=14+3(x+y) | | 6+3(-1+4y)=-26 | | 85+25n=197 | | 5(2y-2)=-24 | | 5c-4-8=-18 | | x^5+8*x^4+18x^3+8x^2+17x=0 | | -6x+52=11x-56 | | -6x+2=-16 | | 64t^2-80t+25= | | 0.25x+5=0.15x+20 | | log(3)+log(14)=log(6x) | | 72+24=288 | | 8*-4=20 | | 25=7(4r-8) | | -1x^2-4x+5=0 | | x^2-2.17x+1=0 | | 3u+2(u+2)=4(4+u)+5u | | 5.4(t-3)=5.4t-16.2 | | 2r+9=5r+9 |

Equations solver categories