-x^2+50x-350=0

Simple and best practice solution for -x^2+50x-350=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-350=0 equation: 


Simplifying
-1x2 + 50x + -350 = 0

Reorder the terms:
-350 + 50x + -1x2 = 0

Solving
-350 + 50x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
350 + -50x + x2 = 0

Move the constant term to the right:

Add '-350' to each side of the equation.
350 + -50x + -350 + x2 = 0 + -350

Reorder the terms:
350 + -350 + -50x + x2 = 0 + -350

Combine like terms: 350 + -350 = 0
0 + -50x + x2 = 0 + -350
-50x + x2 = 0 + -350

Combine like terms: 0 + -350 = -350
-50x + x2 = -350

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 = -350 + 625

Reorder the terms:
625 + -50x + x2 = -350 + 625

Combine like terms: -350 + 625 = 275
625 + -50x + x2 = 275

Factor a perfect square on the left side:
(x + -25)(x + -25) = 275

Calculate the square root of the right side: 16.583123952

Break this problem into two subproblems by setting 
(x + -25) equal to 16.583123952 and -16.583123952.


Subproblem 1
x + -25 = 16.583123952

Simplifying
x + -25 = 16.583123952

Reorder the terms:
-25 + x = 16.583123952

Solving
-25 + x = 16.583123952

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 = 16.583123952 + 25

Combine like terms: -25 + 25 = 0
0 + x = 16.583123952 + 25
x = 16.583123952 + 25

Combine like terms: 16.583123952 + 25 = 41.583123952
x = 41.583123952

Simplifying
x = 41.583123952


Subproblem 2
x + -25 = -16.583123952

Simplifying
x + -25 = -16.583123952

Reorder the terms:
-25 + x = -16.583123952

Solving
-25 + x = -16.583123952

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 = -16.583123952 + 25

Combine like terms: -25 + 25 = 0
0 + x = -16.583123952 + 25
x = -16.583123952 + 25

Combine like terms: -16.583123952 + 25 = 8.416876048
x = 8.416876048

Simplifying
x = 8.416876048


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {41.583123952, 8.416876048}

See similar equations:

| 8t^2-6t=9 | | x^5-x^4+9x^3-9x^2=0 | | 2x+3=24 | | 5x^2+36x+36=0 | | 6(x-8)-(2x-2)=5x-1 | | .5(20z+18)-8=9(z-3) | | 7x+19y=-3 | | -4c+1=-7 | | 12n-6=4n+10 | | 3(y+-4)+9(y+1)= | | 11m^2-2m=10 | | 4(3+c)=3(c-4) | | 8n-6=10 | | 3t+15=13t | | 7(a+3)=4a | | 10m(4m-9)=30 | | y^2+8y=4 | | 8(w-6)=2w | | 2x-45=43-2 | | 6*(3x-7)-12-4x=9x-(7x+6) | | x-7-7x=5 | | 10u-20=9u-11 | | 3(a+2)=a+12 | | 8s^2-30s+18= | | 16m^2-1=15m | | 2x^2-25x+36=0 | | X^2-1x-1=0 | | 6a^2-19a+15= | | -6n+10=-4n-18 | | 7y-10=5y-2 | | -6x-9y=54 | | (9m^3+4n)+7m^3= |

Equations solver categories