x^2+4x+2=8

Simple and best practice solution for x^2+4x+2=8 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=8 equation:


Simplifying
x2 + 4x + 2 = 8

Reorder the terms:
2 + 4x + x2 = 8

Solving
2 + 4x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
2 + -8 + 4x + x2 = 8 + -8

Combine like terms: 2 + -8 = -6
-6 + 4x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-6 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + 4x + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + 4x + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 4x + x2 = 0 + 6
4x + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
4x + x2 = 6

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 = 6 + 4

Reorder the terms:
4 + 4x + x2 = 6 + 4

Combine like terms: 6 + 4 = 10
4 + 4x + x2 = 10

Factor a perfect square on the left side:
(x + 2)(x + 2) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(x + 2) equal to 3.16227766 and -3.16227766.

Subproblem 1

x + 2 = 3.16227766 Simplifying x + 2 = 3.16227766 Reorder the terms: 2 + x = 3.16227766 Solving 2 + x = 3.16227766 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 = 3.16227766 + -2 Combine like terms: 2 + -2 = 0 0 + x = 3.16227766 + -2 x = 3.16227766 + -2 Combine like terms: 3.16227766 + -2 = 1.16227766 x = 1.16227766 Simplifying x = 1.16227766

Subproblem 2

x + 2 = -3.16227766 Simplifying x + 2 = -3.16227766 Reorder the terms: 2 + x = -3.16227766 Solving 2 + x = -3.16227766 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 = -3.16227766 + -2 Combine like terms: 2 + -2 = 0 0 + x = -3.16227766 + -2 x = -3.16227766 + -2 Combine like terms: -3.16227766 + -2 = -5.16227766 x = -5.16227766 Simplifying x = -5.16227766

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.16227766, -5.16227766}

See similar equations:

| 7n+5=5n-11 | | 9x=x+24 | | m+4m-22=7m | | 2x+20=x+28 | | y=-.296x^2+2.7x | | 11z-5=9z+4 | | 35y-62=253 | | 2x+20=s+28 | | 42=-y/9+30 | | 27(A-27)=243 | | 3w-7w= | | -2=-5(2x+2)-10x | | r=m-2aw | | 28(p-28)=252 | | 0.4(x+24)=2.96 | | Y-6=5y-74 | | d+19.6=-8.3 | | 3s-62=2s-48 | | v=2v-59 | | 3x+17+x-9=360 | | 2x^2+29x-9.5=0 | | s+18=10s | | 14x+70=10x+30 | | x/2+1=41/2 | | 4y+28=8(y-1) | | 13x=32+5c | | 8(s-4)=116 | | 2x-3+x^2-6x+9x+27=180 | | 7a=a+18 | | 2(v+8)=-2v+28 | | 1b=-64.8 | | 3x^2+kx-6=0 |

Equations solver categories