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 + x + x2) = 0

Ignore the factor 2.

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

Simplifying
-18 + x + x2 = 0

Solving
-18 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is x.  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.
x + 0.25 + x2 = 18 + 0.25

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

Combine like terms: 18 + 0.25 = 18.25
0.25 + x + 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 = 3.772001873
x = 3.772001873

Simplifying
x = 3.772001873


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 = -4.772001873
x = -4.772001873

Simplifying
x = -4.772001873


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

See similar equations:

| -(18-2s)-(6s+1)=57 | | 3.5x=5-4(x-3.5) | | 15x^2+22x+8= | | 6-4(2x-3y)+7y-8x+10= | | x=40/x-3 | | 9+1/2a=11 | | 3w-7x+6y+2z=16 | | 4m^2+5m=-2m^2-2-2m | | x(x)-121=0 | | a^2+a-2/a^3-1*a^2+a+1/a^2-4 | | 7x(x)2x-5=0 | | 2(2y-2)-y=3 | | 8r^2-5r-6=2r^2 | | 1.6-x=-1.3 | | 7x(x)-2x-7=0 | | 4n^2-19n=-12 | | -3y^8-2y^7= | | x+2x+3+4=5x+6x+7+8 | | 3x(x)-6x-45=0 | | -140.67=74.9-101.23+x | | 9u+6-4(-2u-1)=2(u-4) | | 8(2y-4)+3(4y+5)= | | 21.8x=(22.87) | | 26e+19.6=27.8 | | 7-5(3h+8)+15-14h= | | 0.75y=1/4(x-3) | | -18-5x=-(7-10x) | | 4k^2=-3-8k | | 2x+1-5x=-8 | | 5k=0 | | 20x+5y=-35 | | 16-2(7u-4)+2u-9= |

Equations solver categories