6x^2-7x+8=0

Simple and best practice solution for 6x^2-7x+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^2-7x+8=0 equation: 


Simplifying
6x2 + -7x + 8 = 0

Reorder the terms:
8 + -7x + 6x2 = 0

Solving
8 + -7x + 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 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.166666667x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.166666667x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.166666667x + x2 = 0 + -1.333333333
-1.166666667x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.166666667x + x2 = -1.333333333

The x term is -1.166666667x.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667x + 0.3402777780 + x2 = -1.333333333 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -1.333333333 + 0.3402777780

Combine like terms: -1.333333333 + 0.3402777780 = -0.993055555
0.3402777780 + -1.166666667x + x2 = -0.993055555

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -0.993055555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 0=-16t^2+14t+6 | | x^4=x^2+2 | | x-0.25x=39 | | -x^2+5.667x+3.334=0 | | -3=4(1)-7 | | -x^2+5x+66=0 | | 7c-10=1c+-12 | | x^2+x-16x^2=0 | | 11n+21= | | 5x^2+29x+42=0 | | 5(x-1)-2(x^2+3x+4)-7(x+7)= | | 4(1-2x)=3-2(2-3x) | | 2(2-3x)=5-2(1-4x) | | 9-(12w)=12(3(w+2)) | | 20x+15x+20x-20+15x-15=245 | | b=zv+z | | 3(2y+3)+7=4y+6 | | 15(2-11t)=15(5(t+2)) | | 4x^2-12x-16=0 | | 14x^2-27x=0 | | x^2+4x-960=0 | | 2(2y-1)+10=3y+4 | | 6x^2+2x+3=0 | | x^2+15x+55=0 | | 4.2m-.6=-1-1.8m | | 4c+8=10+10c | | 3-1=4a+12 | | y-[y-(2-y)-1]=-(1-y) | | 1.2-3.2p=5.2p+4 | | 7c-10=-12+1c | | 3x^2-12x-96= | | r=1.333d(60-t) |

Equations solver categories