x^2-13x-36=0

Simple and best practice solution for x^2-13x-36=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-36=0 equation: 


Simplifying
x2 + -13x + -36 = 0

Reorder the terms:
-36 + -13x + x2 = 0

Solving
-36 + -13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '36' to each side of the equation.
-36 + -13x + 36 + x2 = 0 + 36

Reorder the terms:
-36 + 36 + -13x + x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -13x + x2 = 0 + 36
-13x + x2 = 0 + 36

Combine like terms: 0 + 36 = 36
-13x + x2 = 36

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 = 36 + 42.25

Reorder the terms:
42.25 + -13x + x2 = 36 + 42.25

Combine like terms: 36 + 42.25 = 78.25
42.25 + -13x + x2 = 78.25

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = 78.25

Calculate the square root of the right side: 8.845903006

Break this problem into two subproblems by setting 
(x + -6.5) equal to 8.845903006 and -8.845903006.


Subproblem 1
x + -6.5 = 8.845903006

Simplifying
x + -6.5 = 8.845903006

Reorder the terms:
-6.5 + x = 8.845903006

Solving
-6.5 + x = 8.845903006

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 = 8.845903006 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + x = 8.845903006 + 6.5
x = 8.845903006 + 6.5

Combine like terms: 8.845903006 + 6.5 = 15.345903006
x = 15.345903006

Simplifying
x = 15.345903006


Subproblem 2
x + -6.5 = -8.845903006

Simplifying
x + -6.5 = -8.845903006

Reorder the terms:
-6.5 + x = -8.845903006

Solving
-6.5 + x = -8.845903006

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 = -8.845903006 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + x = -8.845903006 + 6.5
x = -8.845903006 + 6.5

Combine like terms: -8.845903006 + 6.5 = -2.345903006
x = -2.345903006

Simplifying
x = -2.345903006


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.345903006, -2.345903006}

See similar equations:

| 2/3x-1=8-1/6x | | (x-2)(x+3)(2x-1)=0 | | t+s=205 | | 4t+s=205 | | 0.95x+.05(16-x)=.10(62) | | 8+a-1=3a-3 | | 2x=72+-4x | | x-8+7=13 | | -20x^2+29x+5=0 | | 2x=72+-4 | | Ln(x+3)=(2x-5) | | 13+f=7 | | 6-8x=5x-7 | | 6/100= | | 3n24= | | 24=-4(-4-2z) | | 2x=72+4x | | 67.2/3.5 | | (-7x^2)+18x-11=0 | | 2x=72+4 | | y^2+4y+9=0 | | 2xa-10=26 | | (-1)/(-2)=0 | | 7.2+a=19 | | a=1/2(27)(12) | | 12/9 | | Log(x+2)+Log(x-5)=log(70) | | -56=y | | 4y-2x+6=0 | | x^3+5x-24X=0 | | (x^2+2)/(4x+4)^2=0 | | 5x^2+5=-5x^2+11x+11 |

Equations solver categories