2x^2+20x+14=0

Simple and best practice solution for 2x^2+20x+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 2x^2+20x+14=0 equation: 


Simplifying
2x2 + 20x + 14 = 0

Reorder the terms:
14 + 20x + 2x2 = 0

Solving
14 + 20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
7 + 10x + x2 = 0

Solving
7 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 10x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + 10x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10x + x2 = 0 + -7
10x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
10x + x2 = -7

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 = -7 + 25

Reorder the terms:
25 + 10x + x2 = -7 + 25

Combine like terms: -7 + 25 = 18
25 + 10x + x2 = 18

Factor a perfect square on the left side:
(x + 5)(x + 5) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + 5) equal to 4.242640687 and -4.242640687.


Subproblem 1
x + 5 = 4.242640687

Simplifying
x + 5 = 4.242640687

Reorder the terms:
5 + x = 4.242640687

Solving
5 + x = 4.242640687

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 = 4.242640687 + -5

Combine like terms: 5 + -5 = 0
0 + x = 4.242640687 + -5
x = 4.242640687 + -5

Combine like terms: 4.242640687 + -5 = -0.757359313
x = -0.757359313

Simplifying
x = -0.757359313


Subproblem 2
x + 5 = -4.242640687

Simplifying
x + 5 = -4.242640687

Reorder the terms:
5 + x = -4.242640687

Solving
5 + x = -4.242640687

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 = -4.242640687 + -5

Combine like terms: 5 + -5 = 0
0 + x = -4.242640687 + -5
x = -4.242640687 + -5

Combine like terms: -4.242640687 + -5 = -9.242640687
x = -9.242640687

Simplifying
x = -9.242640687


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.757359313, -9.242640687}
Solution
x = {-0.757359313, -9.242640687}

See similar equations:

| 3(3-b)+1=10+b | | 3e-6=6 | | 6+19y-1=9y+53-6y | | x^2-13x-102=0 | | -3(x+3)+x=3(x+2)-15-5x | | 2r-6+5r=3-1r+7 | | 7x-4+12= | | 6+19y-1=53-6y | | 0.6(15d+20)-0.16(18d-12)=38 | | .2x+.4=3.6 | | 3(x+2)+2x=-9 | | .025x-1=.15(x-5) | | 3(x+2)+2x= | | 3(x+2)+2x=19 | | 1+2n+2=2+3n | | x^2-3y+40= | | 7/m-2=54 | | m-(2+5n-3m)= | | 31/3+21/5= | | 2x+7-6x-2=9 | | Y=0.43x-11 | | .66667x-5=.50x-3 | | 4x+8(1-x)=12 | | 3x+10=30+x | | -x^2+2x+6=0 | | c=0.8977777778 | | 3(5-3x)+1=3(x+3)-5x | | 2y-6=4whatisy | | 0.95x+0.40(130-x)=0.65x | | 6x-4=6+x | | 65.376=7.2(9c+1) | | 1/4(3x-16)+1/4x-51/3 |

Equations solver categories