x^2+4x=-2

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


Simplifying
x2 + 4x = -2

Reorder the terms:
4x + x2 = -2

Solving
4x + x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + 4x + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 4x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 4x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4x + x2 = 0 + -2
4x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
4x + x2 = -2

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 = -2 + 4

Reorder the terms:
4 + 4x + x2 = -2 + 4

Combine like terms: -2 + 4 = 2
4 + 4x + x2 = 2

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

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(x + 2) equal to 1.414213562 and -1.414213562.


Subproblem 1
x + 2 = 1.414213562

Simplifying
x + 2 = 1.414213562

Reorder the terms:
2 + x = 1.414213562

Solving
2 + x = 1.414213562

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 = 1.414213562 + -2

Combine like terms: 2 + -2 = 0
0 + x = 1.414213562 + -2
x = 1.414213562 + -2

Combine like terms: 1.414213562 + -2 = -0.585786438
x = -0.585786438

Simplifying
x = -0.585786438


Subproblem 2
x + 2 = -1.414213562

Simplifying
x + 2 = -1.414213562

Reorder the terms:
2 + x = -1.414213562

Solving
2 + x = -1.414213562

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 = -1.414213562 + -2

Combine like terms: 2 + -2 = 0
0 + x = -1.414213562 + -2
x = -1.414213562 + -2

Combine like terms: -1.414213562 + -2 = -3.414213562
x = -3.414213562

Simplifying
x = -3.414213562


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.585786438, -3.414213562}

See similar equations:

| 21.3+r=-19.79 | | 3x-5(x-2)=54 | | -1-7x=27 | | -9+x=24 | | y=110x+56 | | 8y=7(y+19) | | 4x=-2y+26 | | 15=8+(-a) | | 4(2x+5)=3(4x-5)-17 | | 2(x+6)+4x=33 | | 37d+48=368 | | M+21=5 | | -2x+1=21 | | Y-(-7)=-5 | | 7.5=3.2-2.1n | | 2x^2-12x=18 | | 3(x-1)=5x-6 | | 3+5x=-47 | | 7t-20=33 | | 20.5*.66=17 | | 84=21x+4-3x+2x | | 4k-13=12 | | -6+4x=2 | | 18=-w+14 | | 12-5x=-13 | | -5+6x=55 | | 2d-4=-8 | | -6x-9=-21 | | -7x+5=26 | | -4=-11-5x | | 5-2x=-4x+9 | | Y-(-7)=-12 |

Equations solver categories