-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 + -1x2) = 0

Ignore the factor 2.

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

Simplifying
50 + -10x + -1x2 = 0

Solving
50 + -10x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-50 + 10x + x2 = 0

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 = 3.660254038
x = 3.660254038

Simplifying
x = 3.660254038


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 = -13.660254038
x = -13.660254038

Simplifying
x = -13.660254038


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

See similar equations:

| 3x+0.9=x+2.7 | | X/900=3.5/1.5 | | -3x+15=x-17 | | 0.1/48=x/900 | | 7x+12=4x-18 | | -7=9p+11 | | 18x+3y=90 | | 3(-2x+12)=33 | | 4/16÷1/6 | | 11x-6y=130 | | 7x+24=3x+12 | | 24x+6y=144 | | (x-2)(x-5)+(x-2)(3x-1)=0 | | 5xsquared-10x+0=0 | | 140=2x | | 92+w=-10 | | (2r-1)(5r+3)= | | -3=b/40 | | 12m+96=3(4m+32) | | (.5x-3)(.5x-7)=120 | | (2x^7)/(6x^5) | | 3(4+y)=2(9+y) | | 2x^7/6x^5 | | 3.2nd=-0.8 | | 5n^2+10n-24=-12 | | 1/2(x-14)1/2(x-6)=120 | | 17j=-15 | | (5u-1)(3-u)=0 | | 4t+17=-3 | | g/20=£.65 | | X+2y=-14graph | | 2(3x+7)=3(2x-6) |

Equations solver categories