-x^2+20x+100=0

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


Simplifying
-1x2 + 20x + 100 = 0

Reorder the terms:
100 + 20x + -1x2 = 0

Solving
100 + 20x + -1x2 = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
-100 + -20x + x2 = 0

Move the constant term to the right:

Add '100' to each side of the equation.
-100 + -20x + 100 + x2 = 0 + 100

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

Combine like terms: -100 + 100 = 0
0 + -20x + x2 = 0 + 100
-20x + x2 = 0 + 100

Combine like terms: 0 + 100 = 100
-20x + x2 = 100

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = 100 + 100

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

Combine like terms: 100 + 100 = 200
100 + -20x + x2 = 200

Factor a perfect square on the left side:
(x + -10)(x + -10) = 200

Calculate the square root of the right side: 14.142135624

Break this problem into two subproblems by setting 
(x + -10) equal to 14.142135624 and -14.142135624.


Subproblem 1
x + -10 = 14.142135624

Simplifying
x + -10 = 14.142135624

Reorder the terms:
-10 + x = 14.142135624

Solving
-10 + x = 14.142135624

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + x = 14.142135624 + 10

Combine like terms: -10 + 10 = 0
0 + x = 14.142135624 + 10
x = 14.142135624 + 10

Combine like terms: 14.142135624 + 10 = 24.142135624
x = 24.142135624

Simplifying
x = 24.142135624


Subproblem 2
x + -10 = -14.142135624

Simplifying
x + -10 = -14.142135624

Reorder the terms:
-10 + x = -14.142135624

Solving
-10 + x = -14.142135624

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + x = -14.142135624 + 10

Combine like terms: -10 + 10 = 0
0 + x = -14.142135624 + 10
x = -14.142135624 + 10

Combine like terms: -14.142135624 + 10 = -4.142135624
x = -4.142135624

Simplifying
x = -4.142135624


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {24.142135624, -4.142135624}

See similar equations:

| 1/2*(u-3)=2u-3/2 | | (-1)2= | | 4+2+2z=12 | | f(2)=2x^2-8x+1 | | 5/2x-3=1/2(x-1) | | 8+2y+2z=12 | | 1/(2x)-3/(4x)=5 | | 1/2*x-3/4*x=5 | | 10=1+3y+1 | | 2+3+7(9)= | | 3t+7=2y | | 1/2x-3/4x=5 | | 10=x+3y+z | | 3(b+2)=5 | | 5(b+3)=20 | | 3x+3y+2z=-5 | | -5t+3=4*(t-6) | | 5x+6y=59 | | f(3a)=2x+5 | | e^1-4x=4 | | 1/2x-1/4=0 | | x-25=38 | | 6sin-3=0 | | 2x^3=1200 | | (Y-3)-(y-2)=5 | | .10*(50X)=29X-11475000 | | b=w+NR | | ln(5x/9)=0 | | 2x-4x=6x+20 | | 5a^2b/3ac | | 2x+5x=19-5x | | 3x+5(x+2)=26 |

Equations solver categories