X^2-20X-20=

Simple and best practice solution for X^2-20X-20= 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-20= equation:


Simplifying
X2 + -20X + -20 = 0

Reorder the terms:
-20 + -20X + X2 = 0

Solving
-20 + -20X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + -20X + 20 + X2 = 0 + 20

Reorder the terms:
-20 + 20 + -20X + X2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -20X + X2 = 0 + 20
-20X + X2 = 0 + 20

Combine like terms: 0 + 20 = 20
-20X + X2 = 20

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 = 20 + 100

Reorder the terms:
100 + -20X + X2 = 20 + 100

Combine like terms: 20 + 100 = 120
100 + -20X + X2 = 120

Factor a perfect square on the left side:
(X + -10)(X + -10) = 120

Calculate the square root of the right side: 10.95445115

Break this problem into two subproblems by setting 
(X + -10) equal to 10.95445115 and -10.95445115.

Subproblem 1

X + -10 = 10.95445115 Simplifying X + -10 = 10.95445115 Reorder the terms: -10 + X = 10.95445115 Solving -10 + X = 10.95445115 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 = 10.95445115 + 10 Combine like terms: -10 + 10 = 0 0 + X = 10.95445115 + 10 X = 10.95445115 + 10 Combine like terms: 10.95445115 + 10 = 20.95445115 X = 20.95445115 Simplifying X = 20.95445115

Subproblem 2

X + -10 = -10.95445115 Simplifying X + -10 = -10.95445115 Reorder the terms: -10 + X = -10.95445115 Solving -10 + X = -10.95445115 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 = -10.95445115 + 10 Combine like terms: -10 + 10 = 0 0 + X = -10.95445115 + 10 X = -10.95445115 + 10 Combine like terms: -10.95445115 + 10 = -0.95445115 X = -0.95445115 Simplifying X = -0.95445115

Solution

The solution to the problem is based on the solutions from the subproblems. X = {20.95445115, -0.95445115}

See similar equations:

| r^3-r+2=0 | | X^4=(2x-8) | | 3x+2ax-a^2=0 | | 12x+y=78 | | 12x+y=7i | | -2(x+4)=2x-8 | | sinx=0.18 | | 4x-16=6x+6 | | x^2+xy-20y=0 | | 5+x^2+x^2=9 | | 5+2x+2x=9 | | X(2x-7)=-6 | | 2x-5y-7z=6 | | 2x-16=x+25 | | 4(2x-3)+5=9(x-2)+8 | | 4+5=450 | | 25-6.5+9= | | -3a-6=7a+11 | | (4^2-4)/2(4-1) | | 3(x+6)=2(x+3)+4 | | 4569=3 | | 2x^4y^3z/3xy^2z | | -2/2-x | | 15x-14-13x-12=-11x-10 | | -54y^7/-6y^3 | | -54y^7/-6y3 | | f(x)=1nx+(1nx*1nx) | | (X-2)(x-3)(x+3)(x+4)=40 | | f(x)=x*x-2+1nx | | 8x^3y^2/15z^5.9z^3/4xy^3= | | 8x^3y^2/15z^5= | | 0.2=(x-30)x |

Equations solver categories