10x^2+5x+4=0

Simple and best practice solution for 10x^2+5x+4=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 10x^2+5x+4=0 equation:


Simplifying
10x2 + 5x + 4 = 0

Reorder the terms:
4 + 5x + 10x2 = 0

Solving
4 + 5x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
0.4 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.5x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.5x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.5x + x2 = 0 + -0.4
0.5x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.5x + x2 = -0.4

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 = -0.4 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -0.4 + 0.0625

Combine like terms: -0.4 + 0.0625 = -0.3375
0.0625 + 0.5x + x2 = -0.3375

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -0.3375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (x+5)=17 | | 4.12(x-7.89)=18.13 | | 1-4-x+4-(-1)=-x-2+3-(-1) | | 3(6x-1)-4(2x-7)=9x+3 | | 4+7g+3g^2=0 | | 5(x-2)=4x-5 | | 9(3-3)=27-27 | | 6.2+1.2=8.9 | | 1-4-x-(4-1)=-x-2-(3-1) | | 3.7x+2.9=17.7 | | 10x^2+4=5x | | 3g^2+7g+4=0 | | -40=-5(2+2z) | | 5x-32=5x+3 | | 8x+1=2-x | | x^2+14=15x | | 3g+7g+4=0 | | 6x+40=14-40 | | y=0.5+10 | | -10(-10x+7)=10(5x+8) | | x^4+2x^3-x+2=0 | | 4x^2=x+6 | | 4d+d-6d-9-3d=0 | | 4(x-7)=56 | | -3n-2n+2=29 | | -3(x+5)+5=2(x+2) | | -3(x+5)+5=2(x+2) | | w-6=1 | | 13c^2+5c-8=0 | | 1-1-x-(-2)=3+x-(1-x) | | 3(y+7)=-2(4-2y) | | -5+6z=1+6z |

Equations solver categories