x^2+4x+4-27=0

Simple and best practice solution for x^2+4x+4-27=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+4x+4-27=0 equation: 


Simplifying
x2 + 4x + 4 + -27 = 0

Reorder the terms:
4 + -27 + 4x + x2 = 0

Combine like terms: 4 + -27 = -23
-23 + 4x + x2 = 0

Solving
-23 + 4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '23' to each side of the equation.
-23 + 4x + 23 + x2 = 0 + 23

Reorder the terms:
-23 + 23 + 4x + x2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 4x + x2 = 0 + 23
4x + x2 = 0 + 23

Combine like terms: 0 + 23 = 23
4x + x2 = 23

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 23 + 4

Reorder the terms:
4 + 4x + x2 = 23 + 4

Combine like terms: 23 + 4 = 27
4 + 4x + x2 = 27

Factor a perfect square on the left side:
(x + 2)(x + 2) = 27

Calculate the square root of the right side: 5.196152423

Break this problem into two subproblems by setting 
(x + 2) equal to 5.196152423 and -5.196152423.


Subproblem 1
x + 2 = 5.196152423

Simplifying
x + 2 = 5.196152423

Reorder the terms:
2 + x = 5.196152423

Solving
2 + x = 5.196152423

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 5.196152423 + -2

Combine like terms: 2 + -2 = 0
0 + x = 5.196152423 + -2
x = 5.196152423 + -2

Combine like terms: 5.196152423 + -2 = 3.196152423
x = 3.196152423

Simplifying
x = 3.196152423


Subproblem 2
x + 2 = -5.196152423

Simplifying
x + 2 = -5.196152423

Reorder the terms:
2 + x = -5.196152423

Solving
2 + x = -5.196152423

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -5.196152423 + -2

Combine like terms: 2 + -2 = 0
0 + x = -5.196152423 + -2
x = -5.196152423 + -2

Combine like terms: -5.196152423 + -2 = -7.196152423
x = -7.196152423

Simplifying
x = -7.196152423


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.196152423, -7.196152423}

See similar equations:

| 8-2x=40 | | 4x+2(x+1)=-1 | | z+6=10 | | 4(y+7)+5=49 | | -5y+3x=-16 | | 4x+6-3x=3 | | x^2+4=904 | | (-4-8)/2(18-15)= | | 2x^2+7x-15=20 | | 7d-3d-d+7-6d=0 | | 3x=0+18 | | -17+(-5)-(-11)-27= | | 16x-4(4x-10)=40 | | 2x*3=348 | | n+28=50 | | 3y+5=-5 | | x*3+4756+x*2=7861 | | 3x-3(x+5)=12 | | x*(2x+3)=65 | | 65=x*(2x+3) | | 34=x+19 | | 0.25+0.5= | | 20=x^2+8x | | 12w=102 | | 2x^2-5=45 | | x+x+x+x-x=540 | | 6(6x-2)=12x | | -4.9t^2+14t+100=0 | | 12y=4x+5 | | ln(x-6)+ln(x+1)=ln(8) | | 3z+5z-6z=5 | | 3ef+5ef+ef= |

Equations solver categories