4x^2+5x+8=0

Simple and best practice solution for 4x^2+5x+8=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 4x^2+5x+8=0 equation:


Simplifying
4x2 + 5x + 8 = 0

Reorder the terms:
8 + 5x + 4x2 = 0

Solving
8 + 5x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
2 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1.25x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 1.25x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.25x + x2 = 0 + -2
1.25x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
1.25x + x2 = -2

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -2 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -2 + 0.390625

Combine like terms: -2 + 0.390625 = -1.609375
0.390625 + 1.25x + x2 = -1.609375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -1.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2y+4x=86400 | | 13x-5=6x+9 | | 2(5a+1)=-58 | | -7x+9+8x=-20+6 | | x^2+15x-76=0 | | x-33+x+x=180 | | -8=-2(x+4)+2x | | 60+5w=100 | | x+110=8(x+5) | | 3x-7=4x-1 | | x+30=3(x+6) | | -6567+577= | | x+10=2(x+12) | | -5(-x+7)=-20 | | 5(x+4)=x-4 | | 2n^2=5n+7 | | 8-(4y-2)=3-5y | | w=-.01(260)+100(160)+10000 | | 10x+2=100 | | 5(4x+6)=-35+45 | | 45x+0.12=49.32X | | 2(y-3)=1.2-9 | | -4-33=6y+17 | | 8x-8=8(x-3) | | 2(2x-28)-4+4x=12 | | 15+(4)(3)-2= | | 12x^2(3x^4-2x)= | | 15(n+8)=3(40+5n) | | x+12=3(x+8) | | 5(x+8)-5=35 | | 7x-(25x^2+12x)= | | x+0=3(x+4) |

Equations solver categories