4x^2+36x+20=0

Simple and best practice solution for 4x^2+36x+20=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+36x+20=0 equation: 


Simplifying
4x2 + 36x + 20 = 0

Reorder the terms:
20 + 36x + 4x2 = 0

Solving
20 + 36x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 9x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + 9x + x2)' equal to zero and attempt to solve:

Simplifying
5 + 9x + x2 = 0

Solving
5 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 9x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 9x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9x + x2 = 0 + -5
9x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
9x + x2 = -5

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -5 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -5 + 20.25

Combine like terms: -5 + 20.25 = 15.25
20.25 + 9x + x2 = 15.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 15.25

Calculate the square root of the right side: 3.905124838

Break this problem into two subproblems by setting 
(x + 4.5) equal to 3.905124838 and -3.905124838.


Subproblem 1
x + 4.5 = 3.905124838

Simplifying
x + 4.5 = 3.905124838

Reorder the terms:
4.5 + x = 3.905124838

Solving
4.5 + x = 3.905124838

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = 3.905124838 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 3.905124838 + -4.5
x = 3.905124838 + -4.5

Combine like terms: 3.905124838 + -4.5 = -0.594875162
x = -0.594875162

Simplifying
x = -0.594875162


Subproblem 2
x + 4.5 = -3.905124838

Simplifying
x + 4.5 = -3.905124838

Reorder the terms:
4.5 + x = -3.905124838

Solving
4.5 + x = -3.905124838

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = -3.905124838 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -3.905124838 + -4.5
x = -3.905124838 + -4.5

Combine like terms: -3.905124838 + -4.5 = -8.405124838
x = -8.405124838

Simplifying
x = -8.405124838


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.594875162, -8.405124838}
Solution
x = {-0.594875162, -8.405124838}

See similar equations:

| 3/2x-4=5/3x | | K-10/3-3/2k=0 | | 1/4m=1/12m-3 | | x+(2x-6)=18 | | -32x-114y=1572 | | 15x+18=120 | | 9x-10x=5+2 | | 17x+6=46+-3x | | 60=27-4r | | -(48+x)=2(11-6x)+x | | 8z-42=2z | | n+(n+1)+(n+3)=-399 | | 4x^2+36x-92=0 | | 10-4x=18-6x | | 635=5x^3 | | -1*2x=1 | | 5=27-4r | | -11+-18= | | 5/11+4/9 | | -1*235x=1 | | S=c+g | | (4x^2)+2=0 | | 3x-8x=4x+27 | | 2=9a-3 | | 31=14f+21 | | =6w^2-12w-18 | | 8000=x-(.025x) | | 7p+11=-17 | | -9(y-86)=y+(-48) | | x/11-2=3 | | 3(3x+5)=-15 | | 3x-2y=5x+6 |

Equations solver categories