x^2-50x-2450=0

Simple and best practice solution for x^2-50x-2450=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^2-50x-2450=0 equation: 


Simplifying
x2 + -50x + -2450 = 0

Reorder the terms:
-2450 + -50x + x2 = 0

Solving
-2450 + -50x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2450' to each side of the equation.
-2450 + -50x + 2450 + x2 = 0 + 2450

Reorder the terms:
-2450 + 2450 + -50x + x2 = 0 + 2450

Combine like terms: -2450 + 2450 = 0
0 + -50x + x2 = 0 + 2450
-50x + x2 = 0 + 2450

Combine like terms: 0 + 2450 = 2450
-50x + x2 = 2450

The x term is -50x.  Take half its coefficient (-25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
-50x + 625 + x2 = 2450 + 625

Reorder the terms:
625 + -50x + x2 = 2450 + 625

Combine like terms: 2450 + 625 = 3075
625 + -50x + x2 = 3075

Factor a perfect square on the left side:
(x + -25)(x + -25) = 3075

Calculate the square root of the right side: 55.452682532

Break this problem into two subproblems by setting 
(x + -25) equal to 55.452682532 and -55.452682532.


Subproblem 1
x + -25 = 55.452682532

Simplifying
x + -25 = 55.452682532

Reorder the terms:
-25 + x = 55.452682532

Solving
-25 + x = 55.452682532

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + x = 55.452682532 + 25

Combine like terms: -25 + 25 = 0
0 + x = 55.452682532 + 25
x = 55.452682532 + 25

Combine like terms: 55.452682532 + 25 = 80.452682532
x = 80.452682532

Simplifying
x = 80.452682532


Subproblem 2
x + -25 = -55.452682532

Simplifying
x + -25 = -55.452682532

Reorder the terms:
-25 + x = -55.452682532

Solving
-25 + x = -55.452682532

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + x = -55.452682532 + 25

Combine like terms: -25 + 25 = 0
0 + x = -55.452682532 + 25
x = -55.452682532 + 25

Combine like terms: -55.452682532 + 25 = -30.452682532
x = -30.452682532

Simplifying
x = -30.452682532


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {80.452682532, -30.452682532}

See similar equations:

| 4sen^2x*cosx=2cosx | | x=y*30-60 | | 8(4x+7)= | | 7(3w+2)*4=4 | | 5t=9 | | 2x^3-3x^2+.95=0 | | 10y-(y+2)= | | x=y-2*30 | | B=2x+7 | | x=y*25 | | 2(4x+6)+5= | | 2m-3=5m-1 | | x(2xy+y)= | | 2x^2+12x+47=0 | | -6v(3v-7)= | | -3+5x=9x-4y-9 | | 50+A= | | -10(s+1)=-15 | | P(p+45)= | | 7y+3-5x=3y+2y | | -8(3n-5)= | | -(4-5r)= | | 3x+9=9x-5y | | b+12=-b-12 | | 7(3k-5)= | | 6a-7=14a+5 | | 4(m+3)= | | 3y+9=12-4y | | 8*-3/2= | | 1x-(5-2x)=-x-3 | | 5x+1+2x+6= | | ax*(2x-5)=6x^2-bx |

Equations solver categories