0=x^2+13x+68

Simple and best practice solution for 0=x^2+13x+68 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 0=x^2+13x+68 equation: 


Simplifying
0 = x2 + 13x + 68

Reorder the terms:
0 = 68 + 13x + x2

Solving
0 = 68 + 13x + x2

Solving for variable 'x'.

Combine like terms: 0 + -68 = -68
-68 + -13x + -1x2 = 68 + 13x + x2 + -68 + -13x + -1x2

Reorder the terms:
-68 + -13x + -1x2 = 68 + -68 + 13x + -13x + x2 + -1x2

Combine like terms: 68 + -68 = 0
-68 + -13x + -1x2 = 0 + 13x + -13x + x2 + -1x2
-68 + -13x + -1x2 = 13x + -13x + x2 + -1x2

Combine like terms: 13x + -13x = 0
-68 + -13x + -1x2 = 0 + x2 + -1x2
-68 + -13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-68 + -13x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(68 + 13x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(68 + 13x + x2)' equal to zero and attempt to solve:

Simplifying
68 + 13x + x2 = 0

Solving
68 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-68' to each side of the equation.
68 + 13x + -68 + x2 = 0 + -68

Reorder the terms:
68 + -68 + 13x + x2 = 0 + -68

Combine like terms: 68 + -68 = 0
0 + 13x + x2 = 0 + -68
13x + x2 = 0 + -68

Combine like terms: 0 + -68 = -68
13x + x2 = -68

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 = -68 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -68 + 42.25

Combine like terms: -68 + 42.25 = -25.75
42.25 + 13x + x2 = -25.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -25.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 1x+9=20 | | y=(-x-4)(x+9) | | 7f+464=700 | | 6k-25=-2k | | y=(-x+4)(x-9) | | X+3x^2=-5 | | 125(17.6+-0.248y)+31y=2200 | | 125=17.6+-0.248y | | .6x+1=y | | y-2=-3(x+4)(x+4) | | 125x+31y=2200 | | -7/v+8=19 | | 0=4x^2+29x+68 | | -8n-7n-12=n+4 | | 40-52=-2 | | 28x+52=183 | | 2x+x=11.75 | | 5.2a+8.2=9.8a-2.8 | | 6(x-5)2=24 | | 16-4m+4m= | | x^2-4.8*0.01+4.8x=0 | | -8n-12=n+4 | | 9/y-11=7 | | 4(x+9)2=120 | | y=5.5x+147 | | 4x-11=77 | | (X+8)2=225 | | 10x=24x-1 | | 5.4a+8.2=9-8a-2.8 | | Sn=7n+30 | | x=-625 | | 62x+1=125 |

Equations solver categories