2x^2+12x-44=0

Simple and best practice solution for 2x^2+12x-44=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+12x-44=0 equation: 


Simplifying
2x2 + 12x + -44 = 0

Reorder the terms:
-44 + 12x + 2x2 = 0

Solving
-44 + 12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + 6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-22 + 6x + x2)' equal to zero and attempt to solve:

Simplifying
-22 + 6x + x2 = 0

Solving
-22 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '22' to each side of the equation.
-22 + 6x + 22 + x2 = 0 + 22

Reorder the terms:
-22 + 22 + 6x + x2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 6x + x2 = 0 + 22
6x + x2 = 0 + 22

Combine like terms: 0 + 22 = 22
6x + x2 = 22

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 22 + 9

Reorder the terms:
9 + 6x + x2 = 22 + 9

Combine like terms: 22 + 9 = 31
9 + 6x + x2 = 31

Factor a perfect square on the left side:
(x + 3)(x + 3) = 31

Calculate the square root of the right side: 5.567764363

Break this problem into two subproblems by setting 
(x + 3) equal to 5.567764363 and -5.567764363.


Subproblem 1
x + 3 = 5.567764363

Simplifying
x + 3 = 5.567764363

Reorder the terms:
3 + x = 5.567764363

Solving
3 + x = 5.567764363

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = 5.567764363 + -3

Combine like terms: 3 + -3 = 0
0 + x = 5.567764363 + -3
x = 5.567764363 + -3

Combine like terms: 5.567764363 + -3 = 2.567764363
x = 2.567764363

Simplifying
x = 2.567764363


Subproblem 2
x + 3 = -5.567764363

Simplifying
x + 3 = -5.567764363

Reorder the terms:
3 + x = -5.567764363

Solving
3 + x = -5.567764363

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = -5.567764363 + -3

Combine like terms: 3 + -3 = 0
0 + x = -5.567764363 + -3
x = -5.567764363 + -3

Combine like terms: -5.567764363 + -3 = -8.567764363
x = -8.567764363

Simplifying
x = -8.567764363


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.567764363, -8.567764363}
Solution
x = {2.567764363, -8.567764363}

See similar equations:

| F-umg=maforu | | 3P-5=7X+30 | | 16n^3+4n^2-4=0 | | 10-8(y+3)=6y-42 | | 0.09x+0.08(42000-x)=3670 | | y=X+3(x-2)(.5) | | 2x+0.86=82.78 | | x^4+256x+1024=0 | | 9(2x+1)(2x-1)= | | 6+7*4=0 | | 6x=8x-10+2 | | 2x+5.81=99.15 | | 2x+0.88=92.90 | | 14x-20x-13x= | | (0.6)(11000)+(.20)+(.10)(6600)= | | y=x+(x-1) | | (1000000000x480)/(4.44x60x240x10000sq) | | -4.4d+4.6-(2d+0.4)+2.6d= | | -4.4+4.6-(2+0.4)+2.6= | | f(x)=8x^2+8x-1 | | 6=3x^2-8x | | -4.4+4.6= | | F(6)=3x^2-8x | | -16.1x^2+150=0 | | 6/6-y-*2=6/6 | | 6x^2-16+10= | | 20x^2-245=0 | | 6/6-y-x2=6/6 | | x^2-9x-120=0 | | 2y^2-39y+17=0 | | 27f^2-12=0 | | 0=16t^2-8t+2 |

Equations solver categories