2x^2+20x+34=0

Simple and best practice solution for 2x^2+20x+34=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+20x+34=0 equation: 


Simplifying
2x2 + 20x + 34 = 0

Reorder the terms:
34 + 20x + 2x2 = 0

Solving
34 + 20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(17 + 10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(17 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
17 + 10x + x2 = 0

Solving
17 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 10x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 10x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 10x + x2 = 0 + -17
10x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
10x + x2 = -17

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -17 + 25

Reorder the terms:
25 + 10x + x2 = -17 + 25

Combine like terms: -17 + 25 = 8
25 + 10x + x2 = 8

Factor a perfect square on the left side:
(x + 5)(x + 5) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(x + 5) equal to 2.828427125 and -2.828427125.


Subproblem 1
x + 5 = 2.828427125

Simplifying
x + 5 = 2.828427125

Reorder the terms:
5 + x = 2.828427125

Solving
5 + x = 2.828427125

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 2.828427125 + -5

Combine like terms: 5 + -5 = 0
0 + x = 2.828427125 + -5
x = 2.828427125 + -5

Combine like terms: 2.828427125 + -5 = -2.171572875
x = -2.171572875

Simplifying
x = -2.171572875


Subproblem 2
x + 5 = -2.828427125

Simplifying
x + 5 = -2.828427125

Reorder the terms:
5 + x = -2.828427125

Solving
5 + x = -2.828427125

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -2.828427125 + -5

Combine like terms: 5 + -5 = 0
0 + x = -2.828427125 + -5
x = -2.828427125 + -5

Combine like terms: -2.828427125 + -5 = -7.828427125
x = -7.828427125

Simplifying
x = -7.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.171572875, -7.828427125}
Solution
x = {-2.171572875, -7.828427125}

See similar equations:

| 4=d-3 | | 55=x-25 | | 59-5*x=8*x+20 | | -1.4a=2.5 | | 2x+7=-65x-7x | | 37-3x=6x+15 | | x-.13x=22.62 | | 2n+5Q=8n+6 | | -2(-4x+3)=19x+6 | | 5-7.5(2k-1)=7 | | 4*x+6=55-3*x | | 5-3.3(2k-1)=7 | | 12-9x=122-44x | | -8y+10+3y=6y-8+4y | | 5t+7= | | 2x^2-12x-22=0 | | 8+11*x=38+x | | 15=5x+45 | | y^2+2y+24=0 | | 2x-2=1x-110 | | -3(3x+3)=4 | | 3*x-2=13*x-32 | | solve-13m=-156 | | x*7-2=3*x | | 4(a-2)=(a+7) | | 5(3x+1)-2(x-1)=1 | | 6x-(4x-3)=12 | | 9-10x=29-24x | | (3x+1)/2-(x-1)/5=1 | | .10(2)+x=0.3(2+x) | | -4(t-2)+9t=7t-6 | | 12÷x+2=6 |

Equations solver categories