x^2+500x-9750000=0

Simple and best practice solution for x^2+500x-9750000=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+500x-9750000=0 equation: 


Simplifying
x2 + 500x + -9750000 = 0

Reorder the terms:
-9750000 + 500x + x2 = 0

Solving
-9750000 + 500x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '9750000' to each side of the equation.
-9750000 + 500x + 9750000 + x2 = 0 + 9750000

Reorder the terms:
-9750000 + 9750000 + 500x + x2 = 0 + 9750000

Combine like terms: -9750000 + 9750000 = 0
0 + 500x + x2 = 0 + 9750000
500x + x2 = 0 + 9750000

Combine like terms: 0 + 9750000 = 9750000
500x + x2 = 9750000

The x term is 500x.  Take half its coefficient (250).
Square it (62500) and add it to both sides.

Add '62500' to each side of the equation.
500x + 62500 + x2 = 9750000 + 62500

Reorder the terms:
62500 + 500x + x2 = 9750000 + 62500

Combine like terms: 9750000 + 62500 = 9812500
62500 + 500x + x2 = 9812500

Factor a perfect square on the left side:
(x + 250)(x + 250) = 9812500

Calculate the square root of the right side: 3132.491021535

Break this problem into two subproblems by setting 
(x + 250) equal to 3132.491021535 and -3132.491021535.


Subproblem 1
x + 250 = 3132.491021535

Simplifying
x + 250 = 3132.491021535

Reorder the terms:
250 + x = 3132.491021535

Solving
250 + x = 3132.491021535

Solving for variable 'x'.

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

Add '-250' to each side of the equation.
250 + -250 + x = 3132.491021535 + -250

Combine like terms: 250 + -250 = 0
0 + x = 3132.491021535 + -250
x = 3132.491021535 + -250

Combine like terms: 3132.491021535 + -250 = 2882.491021535
x = 2882.491021535

Simplifying
x = 2882.491021535


Subproblem 2
x + 250 = -3132.491021535

Simplifying
x + 250 = -3132.491021535

Reorder the terms:
250 + x = -3132.491021535

Solving
250 + x = -3132.491021535

Solving for variable 'x'.

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

Add '-250' to each side of the equation.
250 + -250 + x = -3132.491021535 + -250

Combine like terms: 250 + -250 = 0
0 + x = -3132.491021535 + -250
x = -3132.491021535 + -250

Combine like terms: -3132.491021535 + -250 = -3382.491021535
x = -3382.491021535

Simplifying
x = -3382.491021535


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2882.491021535, -3382.491021535}

See similar equations:

| (7x+4)+(4x+9)= | | -4-2+3x=4 | | 4(9ax+y)=7ax-2y | | -7(3x-1)+8x=5(x+1) | | (3t-2)(9t+4)=(9t-5)(3t+5) | | 44=4*4*2+2*2*x | | 9(5-13)=12 | | 3a^2+6a-72=3 | | 5y+7x=8y-1 | | 8(2x-3)=40 | | 2(3x+5)-6=4x-(2-x) | | 13+6x=7x+6 | | y+-24.8=-13 | | 5a+a=4z-3z | | b=80+(10+8)w | | 0.71x+6=15 | | 90x=180 | | 8(3m+4)-1=8m-33 | | 30=6+4b | | -21+7k=7(5k-7) | | y=4.2x-12 | | 7.9=8.9-0.2x | | (2x)+x(-.04)=23.5 | | -6+10x-4=10(x+2) | | 4n+9=4n+13 | | b=80+(10+8) | | 0.60x+0.75(10)=0.30(101) | | 0.71+6=15 | | -6-(5+6n)=9-n | | 4(-6x+5y)=82 | | 32x+.75=47 | | 15x-2+7x+4=90 |

Equations solver categories