2x^2-2x-36=0

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


Simplifying
2x2 + -2x + -36 = 0

Reorder the terms:
-36 + -2x + 2x2 = 0

Solving
-36 + -2x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + -1x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-18 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
-18 + -1x + x2 = 0

Solving
-18 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '18' to each side of the equation.
-18 + -1x + 18 + x2 = 0 + 18

Reorder the terms:
-18 + 18 + -1x + x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x + x2 = 0 + 18
-1x + x2 = 0 + 18

Combine like terms: 0 + 18 = 18
-1x + x2 = 18

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 18 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 18 + 0.25

Combine like terms: 18 + 0.25 = 18.25
0.25 + -1x + x2 = 18.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 18.25

Calculate the square root of the right side: 4.272001873

Break this problem into two subproblems by setting 
(x + -0.5) equal to 4.272001873 and -4.272001873.


Subproblem 1
x + -0.5 = 4.272001873

Simplifying
x + -0.5 = 4.272001873

Reorder the terms:
-0.5 + x = 4.272001873

Solving
-0.5 + x = 4.272001873

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 4.272001873 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 4.272001873 + 0.5
x = 4.272001873 + 0.5

Combine like terms: 4.272001873 + 0.5 = 4.772001873
x = 4.772001873

Simplifying
x = 4.772001873


Subproblem 2
x + -0.5 = -4.272001873

Simplifying
x + -0.5 = -4.272001873

Reorder the terms:
-0.5 + x = -4.272001873

Solving
-0.5 + x = -4.272001873

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -4.272001873 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -4.272001873 + 0.5
x = -4.272001873 + 0.5

Combine like terms: -4.272001873 + 0.5 = -3.772001873
x = -3.772001873

Simplifying
x = -3.772001873


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.772001873, -3.772001873}
Solution
x = {4.772001873, -3.772001873}

See similar equations:

| 1/x=9/14 | | (3x-2)(8e^2x)=0 | | 4.56=z/0.3 | | -8(u+7)=9u+12 | | 4x-77=-53 | | 11q+19=-12-5+9q | | -5(6x-6)=30+5x | | -14c=-12c-14 | | 3a^2+6a-105=0 | | 2(9m-1)=-19m+4 | | (-4/3)(9/5) | | 2u=10/9 | | 2v-20=4+4v | | 20=5/2w | | 1.2+3.4=1.60 | | X+2x-3x=1 | | 4x^3+4xy^2-46x-2=0 | | (4/5)(-2/9) | | -5(r+3)=-68 | | -10b+2=-8b-8-3b | | 34=23-m | | x-3.54=8.9 | | -5+2x=-35 | | ax-1=2-bx | | x-34=113 | | (-7/9)(9/8) | | ax-1=2-bc | | 3(4y+8)-9=-2(18y-30) | | 76=54+x | | 6(2W+5W)=2W+200 | | x^3=1300 | | -2p-2=7-p |

Equations solver categories