4x^2+166x+372=0

Simple and best practice solution for 4x^2+166x+372=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+166x+372=0 equation: 


Simplifying
4x2 + 166x + 372 = 0

Reorder the terms:
372 + 166x + 4x2 = 0

Solving
372 + 166x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(186 + 83x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(186 + 83x + 2x2)' equal to zero and attempt to solve:

Simplifying
186 + 83x + 2x2 = 0

Solving
186 + 83x + 2x2 = 0

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

Divide each side by '2'.
93 + 41.5x + x2 = 0

Move the constant term to the right:

Add '-93' to each side of the equation.
93 + 41.5x + -93 + x2 = 0 + -93

Reorder the terms:
93 + -93 + 41.5x + x2 = 0 + -93

Combine like terms: 93 + -93 = 0
0 + 41.5x + x2 = 0 + -93
41.5x + x2 = 0 + -93

Combine like terms: 0 + -93 = -93
41.5x + x2 = -93

The x term is 41.5x.  Take half its coefficient (20.75).
Square it (430.5625) and add it to both sides.

Add '430.5625' to each side of the equation.
41.5x + 430.5625 + x2 = -93 + 430.5625

Reorder the terms:
430.5625 + 41.5x + x2 = -93 + 430.5625

Combine like terms: -93 + 430.5625 = 337.5625
430.5625 + 41.5x + x2 = 337.5625

Factor a perfect square on the left side:
(x + 20.75)(x + 20.75) = 337.5625

Calculate the square root of the right side: 18.372874027

Break this problem into two subproblems by setting 
(x + 20.75) equal to 18.372874027 and -18.372874027.


Subproblem 1
x + 20.75 = 18.372874027

Simplifying
x + 20.75 = 18.372874027

Reorder the terms:
20.75 + x = 18.372874027

Solving
20.75 + x = 18.372874027

Solving for variable 'x'.

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

Add '-20.75' to each side of the equation.
20.75 + -20.75 + x = 18.372874027 + -20.75

Combine like terms: 20.75 + -20.75 = 0.00
0.00 + x = 18.372874027 + -20.75
x = 18.372874027 + -20.75

Combine like terms: 18.372874027 + -20.75 = -2.377125973
x = -2.377125973

Simplifying
x = -2.377125973


Subproblem 2
x + 20.75 = -18.372874027

Simplifying
x + 20.75 = -18.372874027

Reorder the terms:
20.75 + x = -18.372874027

Solving
20.75 + x = -18.372874027

Solving for variable 'x'.

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

Add '-20.75' to each side of the equation.
20.75 + -20.75 + x = -18.372874027 + -20.75

Combine like terms: 20.75 + -20.75 = 0.00
0.00 + x = -18.372874027 + -20.75
x = -18.372874027 + -20.75

Combine like terms: -18.372874027 + -20.75 = -39.122874027
x = -39.122874027

Simplifying
x = -39.122874027


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.377125973, -39.122874027}
Solution
x = {-2.377125973, -39.122874027}

See similar equations:

| (-2)=3+2b | | 7x-3+3+3x=63 | | 3x+24=3+6x-9 | | 4x^2-54x+388=0 | | lx-3l+x-6=0 | | (45*x)/5=189 | | x^-3/y^-4 | | -.75x+4=-5 | | 3(6z-1)-4(z+4)=12(z+1) | | 7x+2y=-50 | | 9/2x-5/2=49/2 | | 7+4h=-19+9 | | 2x-1/12=-3/4 | | 2x-1/2=-3/4 | | a=4*3.14159*r^2 | | 164916*3%= | | 3/2x-1/2=5/2 | | v=3.14159*r^2*h | | 4y-28-2y-6y*y=6y*y | | 13x+19=3x+10 | | (4)x^2+(5)+c=0 | | 3(-4a+5)+7a= | | (125)^2/3 | | 9.6x+57.52=-10.4x+55.86 | | 125^2/3= | | 3=-2+3b | | (8xy)-(5xy)=1 | | 2xi+7-i=11+4xi | | 9.6x+57.52=-10.4+55.86 | | 8xy-5xy=1 | | 18-h+5h-11=9h+19-38 | | 6.5x-1.4=18.1 |

Equations solver categories