x^2-20x-18=0

Simple and best practice solution for x^2-20x-18=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-18=0 equation: 


Simplifying
x2 + -20x + -18 = 0

Reorder the terms:
-18 + -20x + x2 = 0

Solving
-18 + -20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '18' to each side of the equation.
-18 + -20x + 18 + x2 = 0 + 18

Reorder the terms:
-18 + 18 + -20x + x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -20x + x2 = 0 + 18
-20x + x2 = 0 + 18

Combine like terms: 0 + 18 = 18
-20x + x2 = 18

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 = 18 + 100

Reorder the terms:
100 + -20x + x2 = 18 + 100

Combine like terms: 18 + 100 = 118
100 + -20x + x2 = 118

Factor a perfect square on the left side:
(x + -10)(x + -10) = 118

Calculate the square root of the right side: 10.862780491

Break this problem into two subproblems by setting 
(x + -10) equal to 10.862780491 and -10.862780491.


Subproblem 1
x + -10 = 10.862780491

Simplifying
x + -10 = 10.862780491

Reorder the terms:
-10 + x = 10.862780491

Solving
-10 + x = 10.862780491

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 = 10.862780491 + 10

Combine like terms: -10 + 10 = 0
0 + x = 10.862780491 + 10
x = 10.862780491 + 10

Combine like terms: 10.862780491 + 10 = 20.862780491
x = 20.862780491

Simplifying
x = 20.862780491


Subproblem 2
x + -10 = -10.862780491

Simplifying
x + -10 = -10.862780491

Reorder the terms:
-10 + x = -10.862780491

Solving
-10 + x = -10.862780491

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 = -10.862780491 + 10

Combine like terms: -10 + 10 = 0
0 + x = -10.862780491 + 10
x = -10.862780491 + 10

Combine like terms: -10.862780491 + 10 = -0.862780491
x = -0.862780491

Simplifying
x = -0.862780491


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {20.862780491, -0.862780491}

See similar equations:

| -9-10x= | | b+2a+2c=forb | | b+2a+2c= | | 3u+6=12 | | 5x-5y=4 | | -34=-4+5y | | 57=-w/7 | | -8=w/2-2 | | 8+5u=18 | | 2(4+9)-4= | | 6(24)= | | -u/6=-44 | | 0.15x^2+x^2=100 | | -4/7x-1/2 | | 6t-3=2+4t | | -3/5x-7/8=-3/4 | | h(h)=5h+4sqrth+3 | | 4(x+7)=41 | | 20,000-b/14=m | | -22-3x= | | m=y-b/14 | | y=14m+b | | -3x=-22 | | 2x^2+10x-75=0 | | 0.03703703703= | | N=59 | | 3x-2=12x-102 | | N=32 | | N=21 | | 31n(2x)=6 | | 2x+8=10x+18 | | 9v=-22 |

Equations solver categories