x^2+16x+-28=0

Simple and best practice solution for x^2+16x+-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+16x+-28=0 equation: 


Simplifying
x2 + 16x + -28 = 0

Reorder the terms:
-28 + 16x + x2 = 0

Solving
-28 + 16x + 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 + 16x + 28 + x2 = 0 + 28

Reorder the terms:
-28 + 28 + 16x + x2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 16x + x2 = 0 + 28
16x + x2 = 0 + 28

Combine like terms: 0 + 28 = 28
16x + x2 = 28

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = 28 + 64

Reorder the terms:
64 + 16x + x2 = 28 + 64

Combine like terms: 28 + 64 = 92
64 + 16x + x2 = 92

Factor a perfect square on the left side:
(x + 8)(x + 8) = 92

Calculate the square root of the right side: 9.591663047

Break this problem into two subproblems by setting 
(x + 8) equal to 9.591663047 and -9.591663047.


Subproblem 1
x + 8 = 9.591663047

Simplifying
x + 8 = 9.591663047

Reorder the terms:
8 + x = 9.591663047

Solving
8 + x = 9.591663047

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = 9.591663047 + -8

Combine like terms: 8 + -8 = 0
0 + x = 9.591663047 + -8
x = 9.591663047 + -8

Combine like terms: 9.591663047 + -8 = 1.591663047
x = 1.591663047

Simplifying
x = 1.591663047


Subproblem 2
x + 8 = -9.591663047

Simplifying
x + 8 = -9.591663047

Reorder the terms:
8 + x = -9.591663047

Solving
8 + x = -9.591663047

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = -9.591663047 + -8

Combine like terms: 8 + -8 = 0
0 + x = -9.591663047 + -8
x = -9.591663047 + -8

Combine like terms: -9.591663047 + -8 = -17.591663047
x = -17.591663047

Simplifying
x = -17.591663047


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.591663047, -17.591663047}

See similar equations:

| x^2+16x+-28=0 | | x^2+16x+-28=0 | | x^2+16x+-28=0 | | x^2+16x+-28= | | (a+b)(a+b)=a^2+2ab+b^2 | | 5.2x+3=1.2x+15 | | (a+b)(a+b)=a^2+2ab+b^2 | | x^3-8x^2+x+8=0 | | .5(1.9)(5)= | | (-1,2)(4,-2)= | | 3(8-4x)=9-7x | | 3(8-4x)=9-7x | | 2(2x-8)-3=2(x-4)-7 | | 2.3x=0.6 | | (8x+84)-2x=(2x+138)-2x | | -2(3s-5)-10=-3(9s+6)-4 | | (8x+84)-2x=(2x+138)-2x | | 1.2x+3.6=10.6 | | 4(29)+6=180 | | 4(29)+y+6=180 | | 2x^4+1032x^3-2048=0 | | 4(29)+y+6=180 | | 4(29)+y+6=180 | | 6(4+4r)=4(7r+13) | | 4(29)+y+6=180 | | 6(4+4r)=4(7r+13) | | 16-2y=10 | | -2(3s-5)-10=-3(9s+6)-4 | | 2w+3=56 | | 3x+8y=-28 | | 0=2600+15x-x^2 | | 9xsquared-32=0 |

Equations solver categories