3a^2-5a+4=0

Simple and best practice solution for 3a^2-5a+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 3a^2-5a+4=0 equation:


Simplifying
3a2 + -5a + 4 = 0

Reorder the terms:
4 + -5a + 3a2 = 0

Solving
4 + -5a + 3a2 = 0

Solving for variable 'a'.

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

Divide each side by '3'.
1.333333333 + -1.666666667a + a2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.666666667a + -1.333333333 + a2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.666666667a + a2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.666666667a + a2 = 0 + -1.333333333
-1.666666667a + a2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.666666667a + a2 = -1.333333333

The a term is -1.666666667a.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667a + 0.6944444447 + a2 = -1.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667a + a2 = -1.333333333 + 0.6944444447

Combine like terms: -1.333333333 + 0.6944444447 = -0.6388888883
0.6944444447 + -1.666666667a + a2 = -0.6388888883

Factor a perfect square on the left side:
(a + -0.8333333335)(a + -0.8333333335) = -0.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4b^2+29b+45= | | 3m+4m+5m= | | (x+2)(y-6)=76 | | 4(2x-3)=39 | | h=-16t^2+68t-60 | | y^2+12y+18=0 | | -2j+1=11 | | 795w-40-1=14-8w | | 3x-n=72 | | -8.1-6z-8.8-3z=-8z+4.7 | | (x+8)(3x+5)=0 | | 2[m-(2m+19)+14]=2(m+5) | | -2x=3x-20 | | 3-2(y+5)-4y= | | 5m+3=7m-6 | | 10s-4s=-12 | | 6-(2y-2)=8-3y | | 8m-6m--16m-9m=9 | | 13x+12=16x-20 | | 3m-3m+6m=6 | | 7(6+w)=6(3+w) | | 7a-4a-2a+2a=18 | | -2x+12=20 | | 5x-4=4x+7 | | 12v+4v-15:=17 | | 8x+5x-3x-x= | | 2n+6=18-4 | | 343x^6-8= | | 11n+3n-12n-2n+4n=20 | | x^2-12x=a | | 6z-3=7z | | 2n+6=18-4n |

Equations solver categories