2x^2-20x-100=0

Simple and best practice solution for 2x^2-20x-100=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^2-20x-100=0 equation: 


Simplifying
2x2 + -20x + -100 = 0

Reorder the terms:
-100 + -20x + 2x2 = 0

Solving
-100 + -20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-50 + -10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-50 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
-50 + -10x + x2 = 0

Solving
-50 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + -10x + 50 + x2 = 0 + 50

Reorder the terms:
-50 + 50 + -10x + x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -10x + x2 = 0 + 50
-10x + x2 = 0 + 50

Combine like terms: 0 + 50 = 50
-10x + x2 = 50

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 50 + 25

Reorder the terms:
25 + -10x + x2 = 50 + 25

Combine like terms: 50 + 25 = 75
25 + -10x + x2 = 75

Factor a perfect square on the left side:
(x + -5)(x + -5) = 75

Calculate the square root of the right side: 8.660254038

Break this problem into two subproblems by setting 
(x + -5) equal to 8.660254038 and -8.660254038.


Subproblem 1
x + -5 = 8.660254038

Simplifying
x + -5 = 8.660254038

Reorder the terms:
-5 + x = 8.660254038

Solving
-5 + x = 8.660254038

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 8.660254038 + 5

Combine like terms: -5 + 5 = 0
0 + x = 8.660254038 + 5
x = 8.660254038 + 5

Combine like terms: 8.660254038 + 5 = 13.660254038
x = 13.660254038

Simplifying
x = 13.660254038


Subproblem 2
x + -5 = -8.660254038

Simplifying
x + -5 = -8.660254038

Reorder the terms:
-5 + x = -8.660254038

Solving
-5 + x = -8.660254038

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -8.660254038 + 5

Combine like terms: -5 + 5 = 0
0 + x = -8.660254038 + 5
x = -8.660254038 + 5

Combine like terms: -8.660254038 + 5 = -3.660254038
x = -3.660254038

Simplifying
x = -3.660254038


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.660254038, -3.660254038}
Solution
x = {13.660254038, -3.660254038}

See similar equations:

| -105=-5(2v+7) | | -8x-7(8+7x)= | | X-0.1x=36 | | 4[2(x+3)+7]-5x=61 | | 34.77=26.98+5r | | -6=-7m+8m | | 45p^2+15p-10=0 | | 4(2w)=-8 | | 2(y+2)=y+6 | | -12x+20y=43 | | 1-3x=2x+2.1 | | x+x+1+x+2=312 | | 1.2(z+0.96)=30.6 | | -4(6-7b)=200 | | 3t=6t+6 | | 8-3x-2x=8 | | 5+-7m+9m=11 | | 4m=130 | | w/2.76+13.56=29.24 | | 3x+8y=55 | | 9.25+2x=18.5 | | 8=r-1+8r | | 128=16 | | 8m+19=9m+8 | | -4=a+8-2 | | 2(6-4x)+5=-7 | | -3(x+5)-6= | | -q-4.36=2.2q/1.8 | | 49(3.7x+1.4)=34.7x | | -3(p-7)=0 | | 21w^2+80w+75=0 | | 6(t-1)=3(x+8) |

Equations solver categories