6x^2-3x+8=0

Simple and best practice solution for 6x^2-3x+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 6x^2-3x+8=0 equation:


Simplifying
6x2 + -3x + 8 = 0

Reorder the terms:
8 + -3x + 6x2 = 0

Solving
8 + -3x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1.333333333 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.5x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.5x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.5x + x2 = 0 + -1.333333333
-0.5x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.5x + x2 = -1.333333333

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 = -1.333333333 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1.333333333 + 0.0625

Combine like terms: -1.333333333 + 0.0625 = -1.270833333
0.0625 + -0.5x + x2 = -1.270833333

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -1.270833333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6(3z-1)-5(z+5)=4(z+1) | | 2x^2+26x=0 | | v^2-2v-8=0 | | 2x^2+2x-40= | | 4y^2+8y+3=0 | | (x+2)(x-5)= | | Y^2-3y-18=0 | | (4u-6)(2+u)=0 | | 35x^5-21x^4-28x= | | 12y-7=32-y | | 2-(-3a-8)=1 | | x(5x+8)=2x^2-2x+25 | | 26x=1900 | | 5a(x+2y)-b(x+2y)= | | 0.1x+0.05(20-x)=0.09(20) | | 0.6x=19 | | x^2=19x | | 6-2(3x-3)=-12 | | x^3-8x^2+2x-16= | | 2-8(-4+3x)=34 | | 8x-(2x+5)=43 | | 10m-(5m-9)=39 | | ln(2x+3)+ln(x+1)=7 | | 8x-28=4x | | 4(x+1.42)=3x | | 2x^2+16x= | | 4a+6a=2a | | 9x+7=-20 | | -5x+9=49 | | 4x^2=11x+3 | | 36x^6y^5-30x^5y^5= | | 13s-16s=12 |

Equations solver categories