35x^2+30x+6=0

Simple and best practice solution for 35x^2+30x+6=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 35x^2+30x+6=0 equation: 


Simplifying
35x2 + 30x + 6 = 0

Reorder the terms:
6 + 30x + 35x2 = 0

Solving
6 + 30x + 35x2 = 0

Solving for variable 'x'.

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

Divide each side by '35'.
0.1714285714 + 0.8571428571x + x2 = 0

Move the constant term to the right:

Add '-0.1714285714' to each side of the equation.
0.1714285714 + 0.8571428571x + -0.1714285714 + x2 = 0 + -0.1714285714

Reorder the terms:
0.1714285714 + -0.1714285714 + 0.8571428571x + x2 = 0 + -0.1714285714

Combine like terms: 0.1714285714 + -0.1714285714 = 0.0000000000
0.0000000000 + 0.8571428571x + x2 = 0 + -0.1714285714
0.8571428571x + x2 = 0 + -0.1714285714

Combine like terms: 0 + -0.1714285714 = -0.1714285714
0.8571428571x + x2 = -0.1714285714

The x term is 0.8571428571x.  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.
0.8571428571x + 0.1836734694 + x2 = -0.1714285714 + 0.1836734694

Reorder the terms:
0.1836734694 + 0.8571428571x + x2 = -0.1714285714 + 0.1836734694

Combine like terms: -0.1714285714 + 0.1836734694 = 0.012244898
0.1836734694 + 0.8571428571x + x2 = 0.012244898

Factor a perfect square on the left side:
(x + 0.4285714286)(x + 0.4285714286) = 0.012244898

Calculate the square root of the right side: 0.110656667

Break this problem into two subproblems by setting 
(x + 0.4285714286) equal to 0.110656667 and -0.110656667.


Subproblem 1
x + 0.4285714286 = 0.110656667

Simplifying
x + 0.4285714286 = 0.110656667

Reorder the terms:
0.4285714286 + x = 0.110656667

Solving
0.4285714286 + x = 0.110656667

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -0.4285714286 + x = 0.110656667 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + x = 0.110656667 + -0.4285714286
x = 0.110656667 + -0.4285714286

Combine like terms: 0.110656667 + -0.4285714286 = -0.3179147616
x = -0.3179147616

Simplifying
x = -0.3179147616


Subproblem 2
x + 0.4285714286 = -0.110656667

Simplifying
x + 0.4285714286 = -0.110656667

Reorder the terms:
0.4285714286 + x = -0.110656667

Solving
0.4285714286 + x = -0.110656667

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -0.4285714286 + x = -0.110656667 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + x = -0.110656667 + -0.4285714286
x = -0.110656667 + -0.4285714286

Combine like terms: -0.110656667 + -0.4285714286 = -0.5392280956
x = -0.5392280956

Simplifying
x = -0.5392280956


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.3179147616, -0.5392280956}

See similar equations:

| 8x^2+35+14= | | 3/2k=15/4 | | x/4+2=3 | | 3x(x+12)=12(5x) | | ×/8-12=-5 | | 65+y+9=180 | | 2y-3x-10=0 | | 4b+2b+8b+b+6= | | -1=x+14 | | 9/20(x)=225 | | 11.57/-10.5 | | x+3+3x=x+x+10 | | (X+1)(2x-7)=18 | | 126=6(5-2p) | | 11(x+12)=22x | | 2.9x-11.03=5.5 | | 3(4-8n)=-156 | | -(1x)=(-47) | | -3.6=0.3a+1.2 | | -2n-2n=4 | | -3.6=0.3a+12 | | 12c+9+7c+4= | | 1-4x+4=-3 | | 9(x+5)=5(2z-3) | | -36=-0.3a+1.2 | | 24/2/3= | | 8mEa/17mEqx5 | | 3x-3+4=5(x-8) | | -3(6p+4)-2(3-17p)=3(2+5p) | | -16a+4a+13a=10 | | x^2-2x=60 | | 7(7-3b)+8=225 |

Equations solver categories