x^2+13x+2=0

Simple and best practice solution for x^2+13x+2=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+13x+2=0 equation:


Simplifying
x2 + 13x + 2 = 0

Reorder the terms:
2 + 13x + x2 = 0

Solving
2 + 13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 13x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 13x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 13x + x2 = 0 + -2
13x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
13x + x2 = -2

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -2 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -2 + 42.25

Combine like terms: -2 + 42.25 = 40.25
42.25 + 13x + x2 = 40.25

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = 40.25

Calculate the square root of the right side: 6.34428877

Break this problem into two subproblems by setting 
(x + 6.5) equal to 6.34428877 and -6.34428877.

Subproblem 1

x + 6.5 = 6.34428877 Simplifying x + 6.5 = 6.34428877 Reorder the terms: 6.5 + x = 6.34428877 Solving 6.5 + x = 6.34428877 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + x = 6.34428877 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = 6.34428877 + -6.5 x = 6.34428877 + -6.5 Combine like terms: 6.34428877 + -6.5 = -0.15571123 x = -0.15571123 Simplifying x = -0.15571123

Subproblem 2

x + 6.5 = -6.34428877 Simplifying x + 6.5 = -6.34428877 Reorder the terms: 6.5 + x = -6.34428877 Solving 6.5 + x = -6.34428877 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + x = -6.34428877 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = -6.34428877 + -6.5 x = -6.34428877 + -6.5 Combine like terms: -6.34428877 + -6.5 = -12.84428877 x = -12.84428877 Simplifying x = -12.84428877

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.15571123, -12.84428877}

See similar equations:

| Log(3x-1)-log(x-3)=2 | | m=0 | | x^2-14x-2=0 | | 5y+3(y-1)+19=12y | | n-3=91 | | 20x+115x-15=15(9x+13) | | (0.666)x+90=180 | | 5x+7=31-3x | | 13p^2-3=4.209 | | j-(-17)=-15 | | 6x+3=-7h+-2 | | 2x-4(3x+1)=5(3x-1)+2 | | 9x+8=x-14 | | 3b+8+2(b-4)= | | 4x^2+1x-5=0 | | 25x^2-100x-100=0 | | (6-2y)7= | | 24=-6(n-3)+3(n-6) | | 6x-3=4x+10 | | 2x^2-8x-38=0 | | -6=b*18 | | 8x+9=3x+25 | | 4c(8)=11c-33 | | 43-13=5(x-7) | | 3n(4)=16 | | 2(3x+7)=10x+9-4x+5 | | x+(x+1)=x+2 | | 5x+15=6x-9 | | 4x+4=9x+14 | | 7x-3=8x+9 | | 3.2x+0.92=0.759-1.4(0.5x+3.42) | | 7x-11=6x+3 |

Equations solver categories