4x^2+168x+1160=0

Simple and best practice solution for 4x^2+168x+1160=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+168x+1160=0 equation:


Simplifying
4x2 + 168x + 1160 = 0

Reorder the terms:
1160 + 168x + 4x2 = 0

Solving
1160 + 168x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(290 + 42x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(290 + 42x + x2)' equal to zero and attempt to solve:

Simplifying
290 + 42x + x2 = 0

Solving
290 + 42x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-290' to each side of the equation.
290 + 42x + -290 + x2 = 0 + -290

Reorder the terms:
290 + -290 + 42x + x2 = 0 + -290

Combine like terms: 290 + -290 = 0
0 + 42x + x2 = 0 + -290
42x + x2 = 0 + -290

Combine like terms: 0 + -290 = -290
42x + x2 = -290

The x term is 42x.  Take half its coefficient (21).
Square it (441) and add it to both sides.

Add '441' to each side of the equation.
42x + 441 + x2 = -290 + 441

Reorder the terms:
441 + 42x + x2 = -290 + 441

Combine like terms: -290 + 441 = 151
441 + 42x + x2 = 151

Factor a perfect square on the left side:
(x + 21)(x + 21) = 151

Calculate the square root of the right side: 12.288205727

Break this problem into two subproblems by setting 
(x + 21) equal to 12.288205727 and -12.288205727.


Subproblem 1
x + 21 = 12.288205727

Simplifying
x + 21 = 12.288205727

Reorder the terms:
21 + x = 12.288205727

Solving
21 + x = 12.288205727

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + x = 12.288205727 + -21

Combine like terms: 21 + -21 = 0
0 + x = 12.288205727 + -21
x = 12.288205727 + -21

Combine like terms: 12.288205727 + -21 = -8.711794273
x = -8.711794273

Simplifying
x = -8.711794273


Subproblem 2
x + 21 = -12.288205727

Simplifying
x + 21 = -12.288205727

Reorder the terms:
21 + x = -12.288205727

Solving
21 + x = -12.288205727

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + x = -12.288205727 + -21

Combine like terms: 21 + -21 = 0
0 + x = -12.288205727 + -21
x = -12.288205727 + -21

Combine like terms: -12.288205727 + -21 = -33.288205727
x = -33.288205727

Simplifying
x = -33.288205727


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-8.711794273, -33.288205727}
Solution
x = {-8.711794273, -33.288205727}

See similar equations:

| 5/7x-1/6=-1/6 | | 3/7a+3/10=9/14 | | 5/6+6/7b=55/42 | | -1/2+3/5t=5/2 | | 1/2t-1/3=11/3 | | 1/6x+5=41/8 | | 3/5+3/4w=-93/20 | | -6+5k=-47/12 | | -5t+4=16/9 | | 3/7t+9/10=9/10 | | -6/7-2t=-160/7 | | 5b+7/10=113/90 | | 1/2+2k=11/6 | | 3(23+4x)+x=4 | | 6+6d=3 | | 13x-159=3x-9 | | -6+1/2n=-5 | | 4n+10=122/11 | | 1/2b-7=-59/9 | | 9-b=-3 | | -2/7b+3/5=71/35 | | -7+2/3m=-41/3 | | b+10=22 | | 2m+1/9=55/9 | | -1-3/4w=-11/12 | | 1-5/7n=7/12 | | 1/4+3b=121/4 | | 10+2x=25/3 | | 1/2d-5=-5 | | 5-5k=5/3 | | -7d+10=27/2 | | 2/7k+10=214/21 |

Equations solver categories