x^2+24x+28=0

Simple and best practice solution for x^2+24x+28=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 x^2+24x+28=0 equation: 


Simplifying
x2 + 24x + 28 = 0

Reorder the terms:
28 + 24x + x2 = 0

Solving
28 + 24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + 24x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + 24x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 24x + x2 = 0 + -28
24x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
24x + x2 = -28

The x term is 24x.  Take half its coefficient (12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
24x + 144 + x2 = -28 + 144

Reorder the terms:
144 + 24x + x2 = -28 + 144

Combine like terms: -28 + 144 = 116
144 + 24x + x2 = 116

Factor a perfect square on the left side:
(x + 12)(x + 12) = 116

Calculate the square root of the right side: 10.770329614

Break this problem into two subproblems by setting 
(x + 12) equal to 10.770329614 and -10.770329614.


Subproblem 1
x + 12 = 10.770329614

Simplifying
x + 12 = 10.770329614

Reorder the terms:
12 + x = 10.770329614

Solving
12 + x = 10.770329614

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + x = 10.770329614 + -12

Combine like terms: 12 + -12 = 0
0 + x = 10.770329614 + -12
x = 10.770329614 + -12

Combine like terms: 10.770329614 + -12 = -1.229670386
x = -1.229670386

Simplifying
x = -1.229670386


Subproblem 2
x + 12 = -10.770329614

Simplifying
x + 12 = -10.770329614

Reorder the terms:
12 + x = -10.770329614

Solving
12 + x = -10.770329614

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + x = -10.770329614 + -12

Combine like terms: 12 + -12 = 0
0 + x = -10.770329614 + -12
x = -10.770329614 + -12

Combine like terms: -10.770329614 + -12 = -22.770329614
x = -22.770329614

Simplifying
x = -22.770329614


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.229670386, -22.770329614}

See similar equations:

| 0.54+54x=234 | | 0.54+54x=234+6x^2 | | 2y+3=7 | | 11.2+4(2.1+q)=-0.8 | | 2ax-2by+4bx-ay=0 | | 3x+4yi=(7-5i)2 | | (2x-8)2=15 | | 4x-36rx+32=0 | | 0+10*1-60-60*10+10= | | 7+3(2n+6)-n= | | 8b-64a=8 | | 11x=286 | | 3(4x-6)+18= | | 2x-1=14-x | | 4z+3=6+2z | | 21-n+36= | | m+60=m+303 | | m+60=p+303 | | 6x-16=32 | | 5x+9=5+3x | | l=90(0+m)-3 | | 60=10p | | -7=117 | | 12-25+6=177 | | 3(x+2)-2(x-1)=7 | | y-21/3=-3 | | 85-79=27y-33y | | -n=5 | | x-6=34+34+3x | | x-6=34+34 | | -s=9 | | 2.3=x-5.9 |

Equations solver categories