6a^2+2a+10=0

Simple and best practice solution for 6a^2+2a+10=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 6a^2+2a+10=0 equation: 


Simplifying
6a2 + 2a + 10 = 0

Reorder the terms:
10 + 2a + 6a2 = 0

Solving
10 + 2a + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + a + 3a2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + a + 3a2)' equal to zero and attempt to solve:

Simplifying
5 + a + 3a2 = 0

Solving
5 + a + 3a2 = 0

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

Divide each side by '3'.
1.666666667 + 0.3333333333a + a2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 0.3333333333a + -1.666666667 + a2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 0.3333333333a + a2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 0.3333333333a + a2 = 0 + -1.666666667
0.3333333333a + a2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
0.3333333333a + a2 = -1.666666667

The a term is a.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.3333333333a + 0.25 + a2 = -1.666666667 + 0.25

Reorder the terms:
0.25 + 0.3333333333a + a2 = -1.666666667 + 0.25

Combine like terms: -1.666666667 + 0.25 = -1.416666667
0.25 + 0.3333333333a + a2 = -1.416666667

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -1.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| x+.1x=337 | | 4x+9y=210 | | B-5=2.75 | | 6u+12=36 | | (9y^2)-12y-1=0 | | x^2+56x+612=0 | | f(X)=22X+15 | | 2x+(-2)=2 | | p^2-8p=48 | | 6o=0 | | 16-6=2-40 | | 9+x-3=13 | | u-12=0 | | ln(x)+ln(x+2)=15 | | 9n^2-5=535 | | 5v-3=7 | | 6f+11=89 | | 7a+4=32 | | 2n^2+10=18 | | d=5*8 | | 17=r+7 | | 9v=9 | | 5(7x+9)=-375 | | p=2*9+2*2 | | 36-k=0 | | Log(x+1)6=12 | | v+6=1 | | k^2-11k+30= | | F(5x+6)= | | 12+a=29 | | 6w+11=5 | | 2n^2-6n-20=0 |

Equations solver categories