4x^2-44x-76=0

Simple and best practice solution for 4x^2-44x-76=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 4x^2-44x-76=0 equation: 


Simplifying
4x2 + -44x + -76 = 0

Reorder the terms:
-76 + -44x + 4x2 = 0

Solving
-76 + -44x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-19 + -11x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-19 + -11x + x2)' equal to zero and attempt to solve:

Simplifying
-19 + -11x + x2 = 0

Solving
-19 + -11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '19' to each side of the equation.
-19 + -11x + 19 + x2 = 0 + 19

Reorder the terms:
-19 + 19 + -11x + x2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -11x + x2 = 0 + 19
-11x + x2 = 0 + 19

Combine like terms: 0 + 19 = 19
-11x + x2 = 19

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = 19 + 30.25

Reorder the terms:
30.25 + -11x + x2 = 19 + 30.25

Combine like terms: 19 + 30.25 = 49.25
30.25 + -11x + x2 = 49.25

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = 49.25

Calculate the square root of the right side: 7.017834424

Break this problem into two subproblems by setting 
(x + -5.5) equal to 7.017834424 and -7.017834424.


Subproblem 1
x + -5.5 = 7.017834424

Simplifying
x + -5.5 = 7.017834424

Reorder the terms:
-5.5 + x = 7.017834424

Solving
-5.5 + x = 7.017834424

Solving for variable 'x'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + x = 7.017834424 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + x = 7.017834424 + 5.5
x = 7.017834424 + 5.5

Combine like terms: 7.017834424 + 5.5 = 12.517834424
x = 12.517834424

Simplifying
x = 12.517834424


Subproblem 2
x + -5.5 = -7.017834424

Simplifying
x + -5.5 = -7.017834424

Reorder the terms:
-5.5 + x = -7.017834424

Solving
-5.5 + x = -7.017834424

Solving for variable 'x'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + x = -7.017834424 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + x = -7.017834424 + 5.5
x = -7.017834424 + 5.5

Combine like terms: -7.017834424 + 5.5 = -1.517834424
x = -1.517834424

Simplifying
x = -1.517834424


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.517834424, -1.517834424}
Solution
x = {12.517834424, -1.517834424}

See similar equations:

| 3x+5=139549.5 | | 161=-8n+9 | | 3/4(70) | | 500/1/2*20-22 | | 5.50x= | | 9x-1=109 | | 2m^2+5mn-3n^2=0 | | 1.25x+250= | | n+5/3=5 | | -8(n+1)-7n=-38 | | 4r*4r+36r+81=r(r+9)(r+9) | | (5y/(y^2-3y))-(7/(3-y)) | | -8(7n+3)=-24 | | 8=x/1+8 | | 4r*4r+36r+81=r | | 7(t+11)=9(t-13) | | 10/11x=-9 | | f(x)=-2x^2-x+3 | | 2+v/4=7 | | 5/11x=3 | | 9/10x=-2 | | q*22=-44 | | -(5a+6)-4=-5 | | 4X^2-4x+37=0 | | 8n-4=6n | | (2x-12)-(x-4)=3 | | -4(5b+1)=-64 | | 28672-65=X | | 7x+9+5x+27=180 | | 2x^4-3x-8=0 | | 12ab+15ab=3ab(4+5) | | 8x+3-7x-4=6x-5x-4 |

Equations solver categories