7a^2+6a+2=0

Simple and best practice solution for 7a^2+6a+2=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 7a^2+6a+2=0 equation:


Simplifying
7a2 + 6a + 2 = 0

Reorder the terms:
2 + 6a + 7a2 = 0

Solving
2 + 6a + 7a2 = 0

Solving for variable 'a'.

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

Divide each side by '7'.
0.2857142857 + 0.8571428571a + a2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + 0.8571428571a + -0.2857142857 + a2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + 0.8571428571a + a2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + 0.8571428571a + a2 = 0 + -0.2857142857
0.8571428571a + a2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
0.8571428571a + a2 = -0.2857142857

The a term is 0.8571428571a.  Take half its coefficient (0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
0.8571428571a + 0.1836734694 + a2 = -0.2857142857 + 0.1836734694

Reorder the terms:
0.1836734694 + 0.8571428571a + a2 = -0.2857142857 + 0.1836734694

Combine like terms: -0.2857142857 + 0.1836734694 = -0.1020408163
0.1836734694 + 0.8571428571a + a2 = -0.1020408163

Factor a perfect square on the left side:
(a + 0.4285714286)(a + 0.4285714286) = -0.1020408163

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5+13=-9w | | (x-1)*(x-1)=-7 | | 5x+3=13x | | (2x+8)-(-3x+9)= | | 4*2.25+3=12 | | 6+4(x+2)=22 | | 5(x-9)+24-7x=4x-77 | | x^2+16x-29=0 | | 10+6x=5x | | 4(2.25)+3=12 | | 8n=64 | | v^2+16v+15=0 | | 2x+2(x+15)=(x+45)+(x+40)+(x+25) | | 2x+y=180 | | 3y^2-5y-8=0 | | 12(a-5)=5(a+8)+26 | | 9x+7=11x | | 5x-8y=40 | | k^2-16k+9=0 | | x+3=-5 | | 2x-6i=-8(20y)i | | 4n=36 | | 2x-9=y | | 3g+1=-3.6(g-1) | | y=2x-9 | | 8+2c=2c | | 4x-20=-2x+4 | | -x^2+x+30=30 | | 10+2(b-4)-b= | | 16b-4(c+3)-4b= | | 2x+15+3x=4x+6+2x | | -(x-3)+2(x+2)=12 |

Equations solver categories