3x^2+5x-44=0

Simple and best practice solution for 3x^2+5x-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 3x^2+5x-44=0 equation: 


Simplifying
3x2 + 5x + -44 = 0

Reorder the terms:
-44 + 5x + 3x2 = 0

Solving
-44 + 5x + 3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-14.66666667 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '14.66666667' to each side of the equation.
-14.66666667 + 1.666666667x + 14.66666667 + x2 = 0 + 14.66666667

Reorder the terms:
-14.66666667 + 14.66666667 + 1.666666667x + x2 = 0 + 14.66666667

Combine like terms: -14.66666667 + 14.66666667 = 0.00000000
0.00000000 + 1.666666667x + x2 = 0 + 14.66666667
1.666666667x + x2 = 0 + 14.66666667

Combine like terms: 0 + 14.66666667 = 14.66666667
1.666666667x + x2 = 14.66666667

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = 14.66666667 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = 14.66666667 + 0.6944444447

Combine like terms: 14.66666667 + 0.6944444447 = 15.3611111147
0.6944444447 + 1.666666667x + x2 = 15.3611111147

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = 15.3611111147

Calculate the square root of the right side: 3.919325339

Break this problem into two subproblems by setting 
(x + 0.8333333335) equal to 3.919325339 and -3.919325339.


Subproblem 1
x + 0.8333333335 = 3.919325339

Simplifying
x + 0.8333333335 = 3.919325339

Reorder the terms:
0.8333333335 + x = 3.919325339

Solving
0.8333333335 + x = 3.919325339

Solving for variable 'x'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x = 3.919325339 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = 3.919325339 + -0.8333333335
x = 3.919325339 + -0.8333333335

Combine like terms: 3.919325339 + -0.8333333335 = 3.0859920055
x = 3.0859920055

Simplifying
x = 3.0859920055


Subproblem 2
x + 0.8333333335 = -3.919325339

Simplifying
x + 0.8333333335 = -3.919325339

Reorder the terms:
0.8333333335 + x = -3.919325339

Solving
0.8333333335 + x = -3.919325339

Solving for variable 'x'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x = -3.919325339 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = -3.919325339 + -0.8333333335
x = -3.919325339 + -0.8333333335

Combine like terms: -3.919325339 + -0.8333333335 = -4.7526586725
x = -4.7526586725

Simplifying
x = -4.7526586725


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.0859920055, -4.7526586725}

See similar equations:

| 40x^5/15x^2 | | W-2Xw-7= | | 3.6x-2.25=-15.75 | | 6-2(x+5)=12 | | 20-4f=32-8f | | 8(3x-4)=4x | | 1.4*10^-7=x^2/.10-x | | 1.4*10^-7=x^2/.10 | | 12-4f=2f+24 | | (10^1/4)*(10^1/4)*(10^1/4)*(10^1/4) | | Cos(7p/12) | | x^2-(8/x) | | 3p/12 | | x^2+y^2-12y+36=35 | | (4m^3n^5)(3nm^4)(3nm^3)= | | 3X-15(8+2)=90-15+30 | | logx(3x+18)=2 | | (4x^2+2x)-20(x+3x-1)x=5 | | 8f-4=3f+6 | | X+8+5x=32x-2 | | 74.6+x=76.4 | | N^8=80 | | 5(x+2)-5= | | 3x-1/4=9 | | 6+3f=7f-14 | | (x-1)/2=4 | | 3m+2m-5=10 | | -3x-3y=-16 | | (5b-7)-2(2b+4)=-7 | | y=19.26+0.42x | | 4x-11=x+13 | | h/-2418 |

Equations solver categories