x^2-20x-5700=0

Simple and best practice solution for x^2-20x-5700=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-5700=0 equation: 


Simplifying
x2 + -20x + -5700 = 0

Reorder the terms:
-5700 + -20x + x2 = 0

Solving
-5700 + -20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '5700' to each side of the equation.
-5700 + -20x + 5700 + x2 = 0 + 5700

Reorder the terms:
-5700 + 5700 + -20x + x2 = 0 + 5700

Combine like terms: -5700 + 5700 = 0
0 + -20x + x2 = 0 + 5700
-20x + x2 = 0 + 5700

Combine like terms: 0 + 5700 = 5700
-20x + x2 = 5700

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 = 5700 + 100

Reorder the terms:
100 + -20x + x2 = 5700 + 100

Combine like terms: 5700 + 100 = 5800
100 + -20x + x2 = 5800

Factor a perfect square on the left side:
(x + -10)(x + -10) = 5800

Calculate the square root of the right side: 76.157731059

Break this problem into two subproblems by setting 
(x + -10) equal to 76.157731059 and -76.157731059.


Subproblem 1
x + -10 = 76.157731059

Simplifying
x + -10 = 76.157731059

Reorder the terms:
-10 + x = 76.157731059

Solving
-10 + x = 76.157731059

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 = 76.157731059 + 10

Combine like terms: -10 + 10 = 0
0 + x = 76.157731059 + 10
x = 76.157731059 + 10

Combine like terms: 76.157731059 + 10 = 86.157731059
x = 86.157731059

Simplifying
x = 86.157731059


Subproblem 2
x + -10 = -76.157731059

Simplifying
x + -10 = -76.157731059

Reorder the terms:
-10 + x = -76.157731059

Solving
-10 + x = -76.157731059

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 = -76.157731059 + 10

Combine like terms: -10 + 10 = 0
0 + x = -76.157731059 + 10
x = -76.157731059 + 10

Combine like terms: -76.157731059 + 10 = -66.157731059
x = -66.157731059

Simplifying
x = -66.157731059


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {86.157731059, -66.157731059}

See similar equations:

| -2+3-12=3x+1 | | 3(-2+9)+5y=20 | | a=4-5 | | 5x^2=5000 | | 3(6x-5)-[3(1-8x)+5]=0 | | 4x+9=2x+-1 | | (-30)+2x=10 | | 5x+24=2x+60 | | 4(5-6x)+26=-8(x-5) | | -5g=-15 | | x^3-20x^2-5700x=54000 | | 4(17.82)x=545.82 | | x+5=4x-49 | | Y=2+34 | | 16w+19=534 | | 8X-9=46 | | 7*x-5=4 | | 5+15d=17d+9 | | 12x^2-31x=-20 | | 4x^3-20x^2+4x-20=0 | | 7(2x+5)=-63 | | (-7x)+14=56 | | 10b+-45=3(1b+-15) | | e(7x+9)=1 | | 13X-3y=9 | | 3m-13=-8n | | 5m-24=30+4m | | 60-y(15)= | | AB+CB=DforB | | 5+16w=13x-2 | | (-3x)-6=18 | | 2v^3+6v^2-8v-24= |

Equations solver categories