2x^2+44x+120=0

Simple and best practice solution for 2x^2+44x+120=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+44x+120=0 equation: 


Simplifying
2x2 + 44x + 120 = 0

Reorder the terms:
120 + 44x + 2x2 = 0

Solving
120 + 44x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(60 + 22x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(60 + 22x + x2)' equal to zero and attempt to solve:

Simplifying
60 + 22x + x2 = 0

Solving
60 + 22x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + 22x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + 22x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 22x + x2 = 0 + -60
22x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
22x + x2 = -60

The x term is 22x.  Take half its coefficient (11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
22x + 121 + x2 = -60 + 121

Reorder the terms:
121 + 22x + x2 = -60 + 121

Combine like terms: -60 + 121 = 61
121 + 22x + x2 = 61

Factor a perfect square on the left side:
(x + 11)(x + 11) = 61

Calculate the square root of the right side: 7.810249676

Break this problem into two subproblems by setting 
(x + 11) equal to 7.810249676 and -7.810249676.


Subproblem 1
x + 11 = 7.810249676

Simplifying
x + 11 = 7.810249676

Reorder the terms:
11 + x = 7.810249676

Solving
11 + x = 7.810249676

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + x = 7.810249676 + -11

Combine like terms: 11 + -11 = 0
0 + x = 7.810249676 + -11
x = 7.810249676 + -11

Combine like terms: 7.810249676 + -11 = -3.189750324
x = -3.189750324

Simplifying
x = -3.189750324


Subproblem 2
x + 11 = -7.810249676

Simplifying
x + 11 = -7.810249676

Reorder the terms:
11 + x = -7.810249676

Solving
11 + x = -7.810249676

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + x = -7.810249676 + -11

Combine like terms: 11 + -11 = 0
0 + x = -7.810249676 + -11
x = -7.810249676 + -11

Combine like terms: -7.810249676 + -11 = -18.810249676
x = -18.810249676

Simplifying
x = -18.810249676


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-3.189750324, -18.810249676}
Solution
x = {-3.189750324, -18.810249676}

See similar equations:

| x+(x+2)=143 | | 6/7/5/14 | | sin(5x)=cos(2x) | | 3x+3+3x+3x+2=180 | | 18x-(8x-7)+12=-52 | | f(t)=t^4In(3t+5) | | -x-7x=80 | | 11x+29=4x+197 | | 101-5x=13x+21 | | 8(5+x)=9(x-5) | | 7x-3=21-x+4 | | [2(6-10)]= | | 14x-7=110x | | 3Y-7+Y+45=8Y+40-6Y | | 4x^2-9x+9=-4x+8 | | 10+5q=13+4q | | 4-2[5-(4y-3)]= | | -9X^2=1 | | x/4+13=16 | | y=.7x+5.95 | | 1+(3/x+1)=x/x-1 | | Ek+1c=-p | | 4x^2+16x+15=15 | | d-k=q | | 3/4c-3/18=4/9c+17/12 | | 7x+y=36 | | 7+9x/2x=10 | | y^2-12y+28=0 | | 2y+5=5y-16 | | 22.5+7n-23.8= | | 5/14c-9/2=8/7 | | 3(2x-1)-(5x-4)=-9 |

Equations solver categories