16a^2+8a+14=0

Simple and best practice solution for 16a^2+8a+14=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 16a^2+8a+14=0 equation:


Simplifying
16a2 + 8a + 14 = 0

Reorder the terms:
14 + 8a + 16a2 = 0

Solving
14 + 8a + 16a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 4a + 8a2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + 4a + 8a2)' equal to zero and attempt to solve:

Simplifying
7 + 4a + 8a2 = 0

Solving
7 + 4a + 8a2 = 0

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

Divide each side by '8'.
0.875 + 0.5a + a2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + 0.5a + -0.875 + a2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + 0.5a + a2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + 0.5a + a2 = 0 + -0.875
0.5a + a2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
0.5a + a2 = -0.875

The a term is 0.5a.  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.
0.5a + 0.0625 + a2 = -0.875 + 0.0625

Reorder the terms:
0.0625 + 0.5a + a2 = -0.875 + 0.0625

Combine like terms: -0.875 + 0.0625 = -0.8125
0.0625 + 0.5a + a2 = -0.8125

Factor a perfect square on the left side:
(a + 0.25)(a + 0.25) = -0.8125

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:

| 4x-60=x | | x+2/3+x-1/2=1 | | b-4=b/12 | | -(x-8)+2(x+2)=4x+3 | | 2b^2-15=-7b | | 2a^2(3a^2-5a^2)= | | b-4=b/13 | | 18.9=2.7x | | (x+2/3)+(x-1/2)=1 | | 4k-10k=30 | | (x+5/x-4)+1=9/x-4 | | x^2(x+x)=80 | | 3u^2=2u+5 | | 2/3(3-6x)=-3(8x-4) | | 8x^2-50x+101=0 | | 3b+7=2b+8 | | 4r+1=11 | | y-8/5-y/3=-8/5 | | 5x^2-37x=24 | | A(n)=2.5+(n-1)(2.5) | | 1/2(8y+4) | | 5abc^2+25a^3bc= | | (8x-5)+(15x+1)= | | 1/2(2x-16)=3x | | -2(-3-x)+6x= | | 3a+1=-36a+36 | | (2x)^(1/2)-(9x)^(1/4)+6=0 | | 23/8-1/2 | | 22=2+4n-8n | | (2x)^1/2-(9x)^1/4+6=0 | | 9(k-2)=3(k-4) | | -(x-8)+2(x+2)=x+3 |

Equations solver categories