(x^2)-4x-36=0

Simple and best practice solution for (x^2)-4x-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)-4x-36=0 equation: 


Simplifying
(x2) + -4x + -36 = 0
x2 + -4x + -36 = 0

Reorder the terms:
-36 + -4x + x2 = 0

Solving
-36 + -4x + 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 + -4x + 36 + x2 = 0 + 36

Reorder the terms:
-36 + 36 + -4x + x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -4x + x2 = 0 + 36
-4x + x2 = 0 + 36

Combine like terms: 0 + 36 = 36
-4x + x2 = 36

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 = 36 + 4

Reorder the terms:
4 + -4x + x2 = 36 + 4

Combine like terms: 36 + 4 = 40
4 + -4x + x2 = 40

Factor a perfect square on the left side:
(x + -2)(x + -2) = 40

Calculate the square root of the right side: 6.32455532

Break this problem into two subproblems by setting 
(x + -2) equal to 6.32455532 and -6.32455532.


Subproblem 1
x + -2 = 6.32455532

Simplifying
x + -2 = 6.32455532

Reorder the terms:
-2 + x = 6.32455532

Solving
-2 + x = 6.32455532

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 = 6.32455532 + 2

Combine like terms: -2 + 2 = 0
0 + x = 6.32455532 + 2
x = 6.32455532 + 2

Combine like terms: 6.32455532 + 2 = 8.32455532
x = 8.32455532

Simplifying
x = 8.32455532


Subproblem 2
x + -2 = -6.32455532

Simplifying
x + -2 = -6.32455532

Reorder the terms:
-2 + x = -6.32455532

Solving
-2 + x = -6.32455532

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 = -6.32455532 + 2

Combine like terms: -2 + 2 = 0
0 + x = -6.32455532 + 2
x = -6.32455532 + 2

Combine like terms: -6.32455532 + 2 = -4.32455532
x = -4.32455532

Simplifying
x = -4.32455532


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.32455532, -4.32455532}

See similar equations:

| [2x-4]=[-12] | | -8v+7=-5v+10 | | 8-2(5v+7)= | | (-8+7i)-(8-2i)= | | 3(3x-2)=4+9 | | [2x-2]=[-16] | | 48=4(5+7n)-4(4n-7) | | 2x+2.25=5 | | x+3=-4(2x-3) | | 3x-7x=3x-12 | | 5+5x=-3 | | 2xz-5y-9z+9=6y+4z+3 | | -8(5b+8)=-344 | | H=vt-5t*5t | | 14-12= | | 9(5x-7)(1-4x)=0 | | 15x^2-25=10x | | [5+8c]-19=-9 | | 3(t-2)+t-2=-(t-10) | | (m+4)(m-10)=0 | | x+x*0.13=3928000 | | 3x-2(x-2)=-(x-10) | | -9=-2x+5 | | 2(x+7)=3x-4 | | [4x]=-5 | | -9=-2c | | 3x+2(x-2)=x-10 | | 4(8+7m)=116 | | y-50x=100 | | -5x-8+3x=4x+4 | | y+(-0.05)=-0.7 | | 25x^2-520x+204=0 |

Equations solver categories