2x^2+28x+8=0

Simple and best practice solution for 2x^2+28x+8=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 2x^2+28x+8=0 equation: 


Simplifying
2x2 + 28x + 8 = 0

Reorder the terms:
8 + 28x + 2x2 = 0

Solving
8 + 28x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 14x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
4 + 14x + x2 = 0

Solving
4 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 14x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 14x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 14x + x2 = 0 + -4
14x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
14x + x2 = -4

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -4 + 49

Reorder the terms:
49 + 14x + x2 = -4 + 49

Combine like terms: -4 + 49 = 45
49 + 14x + x2 = 45

Factor a perfect square on the left side:
(x + 7)(x + 7) = 45

Calculate the square root of the right side: 6.708203933

Break this problem into two subproblems by setting 
(x + 7) equal to 6.708203933 and -6.708203933.


Subproblem 1
x + 7 = 6.708203933

Simplifying
x + 7 = 6.708203933

Reorder the terms:
7 + x = 6.708203933

Solving
7 + x = 6.708203933

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = 6.708203933 + -7

Combine like terms: 7 + -7 = 0
0 + x = 6.708203933 + -7
x = 6.708203933 + -7

Combine like terms: 6.708203933 + -7 = -0.291796067
x = -0.291796067

Simplifying
x = -0.291796067


Subproblem 2
x + 7 = -6.708203933

Simplifying
x + 7 = -6.708203933

Reorder the terms:
7 + x = -6.708203933

Solving
7 + x = -6.708203933

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = -6.708203933 + -7

Combine like terms: 7 + -7 = 0
0 + x = -6.708203933 + -7
x = -6.708203933 + -7

Combine like terms: -6.708203933 + -7 = -13.708203933
x = -13.708203933

Simplifying
x = -13.708203933


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.291796067, -13.708203933}
Solution
x = {-0.291796067, -13.708203933}

See similar equations:

| 5=0.5x+1 | | 9s*9s-18s=0 | | 180-242-x= | | r-35=8.7 | | 10a+5=15 | | 4(x^2+3)-5(2-3x^2)= | | 4-17=5+x | | 8x(3)=12 | | 13x-4x+2=9x+6-4 | | 2x+2345-86=14 | | 1*x^3+1*x^2+1*x=0 | | 1*x^3+1*x^2+1*x+1=0 | | 2e=-3 | | -x^3+22*x^2-162*x+400=0 | | -x^3+22*x^2-161*x+400=0 | | 9=16+4(m-6) | | 8.69+y=2.5 | | 80x=4x-5 | | 4(d-1)-3(d+2)=-6 | | 21-3(2-w)=12 | | 2x^2+8=10x | | 132x=33 | | x+4/7=49 | | 12=5(3r+2)-(r-1) | | 16t^2+64t+80=0 | | (6x-4)=10 | | 3x/2+4=10 | | -4k+8+8=12-5k | | 9x^2-49=6 | | 6(a+2)=10a+2 | | lnx=0.59 | | 3*7-(6*7)+346/3= |

Equations solver categories