x^2-60x-400=0

Simple and best practice solution for x^2-60x-400=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^2-60x-400=0 equation: 


Simplifying
x2 + -60x + -400 = 0

Reorder the terms:
-400 + -60x + x2 = 0

Solving
-400 + -60x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '400' to each side of the equation.
-400 + -60x + 400 + x2 = 0 + 400

Reorder the terms:
-400 + 400 + -60x + x2 = 0 + 400

Combine like terms: -400 + 400 = 0
0 + -60x + x2 = 0 + 400
-60x + x2 = 0 + 400

Combine like terms: 0 + 400 = 400
-60x + x2 = 400

The x term is -60x.  Take half its coefficient (-30).
Square it (900) and add it to both sides.

Add '900' to each side of the equation.
-60x + 900 + x2 = 400 + 900

Reorder the terms:
900 + -60x + x2 = 400 + 900

Combine like terms: 400 + 900 = 1300
900 + -60x + x2 = 1300

Factor a perfect square on the left side:
(x + -30)(x + -30) = 1300

Calculate the square root of the right side: 36.055512755

Break this problem into two subproblems by setting 
(x + -30) equal to 36.055512755 and -36.055512755.


Subproblem 1
x + -30 = 36.055512755

Simplifying
x + -30 = 36.055512755

Reorder the terms:
-30 + x = 36.055512755

Solving
-30 + x = 36.055512755

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + x = 36.055512755 + 30

Combine like terms: -30 + 30 = 0
0 + x = 36.055512755 + 30
x = 36.055512755 + 30

Combine like terms: 36.055512755 + 30 = 66.055512755
x = 66.055512755

Simplifying
x = 66.055512755


Subproblem 2
x + -30 = -36.055512755

Simplifying
x + -30 = -36.055512755

Reorder the terms:
-30 + x = -36.055512755

Solving
-30 + x = -36.055512755

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + x = -36.055512755 + 30

Combine like terms: -30 + 30 = 0
0 + x = -36.055512755 + 30
x = -36.055512755 + 30

Combine like terms: -36.055512755 + 30 = -6.055512755
x = -6.055512755

Simplifying
x = -6.055512755


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {66.055512755, -6.055512755}

See similar equations:

| 5.177-5.231= | | 355657=35 | | -910=10(7X+7) | | 3Logx^16=12 | | 0.79x+1.19=24 | | h+3.4=10.3 | | 21f=672 | | y-11=2/5(x-2) | | 776=87 | | 289x^2-169y^2=0 | | Y-5/3=-1 | | b+(-17)=-30 | | 18h+4h-16h=-6 | | 4(x-y)-7= | | 4(x-y)=1 | | 4(x-y)=-7 | | 42+7= | | X+2+14=5x+2 | | 4(x-y)=11 | | 18h+4h+6h=-6 | | 7x+8=23 | | 2y+109.75= | | f=1.7c+28 | | 500=.08x+.004x^2 | | 54+3W=9W | | -0+(-15)= | | 3x-1+2x+3=180 | | 9m-4m+m-3m=18 | | 1/5/15= | | f=17c+28 | | 50/x=15/100 | | hx+2-h-2x=0 |

Equations solver categories