-5x^2+250x-130000=5000

Simple and best practice solution for -5x^2+250x-130000=5000 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 -5x^2+250x-130000=5000 equation:


Simplifying
-5x2 + 250x + -130000 = 5000

Reorder the terms:
-130000 + 250x + -5x2 = 5000

Solving
-130000 + 250x + -5x2 = 5000

Solving for variable 'x'.

Reorder the terms:
-130000 + -5000 + 250x + -5x2 = 5000 + -5000

Combine like terms: -130000 + -5000 = -135000
-135000 + 250x + -5x2 = 5000 + -5000

Combine like terms: 5000 + -5000 = 0
-135000 + 250x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-27000 + 50x + -1x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-27000 + 50x + -1x2)' equal to zero and attempt to solve:

Simplifying
-27000 + 50x + -1x2 = 0

Solving
-27000 + 50x + -1x2 = 0

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

Divide each side by '-1'.
27000 + -50x + x2 = 0

Move the constant term to the right:

Add '-27000' to each side of the equation.
27000 + -50x + -27000 + x2 = 0 + -27000

Reorder the terms:
27000 + -27000 + -50x + x2 = 0 + -27000

Combine like terms: 27000 + -27000 = 0
0 + -50x + x2 = 0 + -27000
-50x + x2 = 0 + -27000

Combine like terms: 0 + -27000 = -27000
-50x + x2 = -27000

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 = -27000 + 625

Reorder the terms:
625 + -50x + x2 = -27000 + 625

Combine like terms: -27000 + 625 = -26375
625 + -50x + x2 = -26375

Factor a perfect square on the left side:
(x + -25)(x + -25) = -26375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| (x^2)-19x+9.5=0 | | (x+18)=688 | | 0.4(x+7)-0.1(3x+6)=-0.8 | | 17+20-3=17y | | y=6xt+5xt^2+6 | | 15d+3.2=92 | | 3(5-3)=2(3-1) | | 2+3/5x=9 | | 4(8-2x)=-6x+4(x-4) | | 10=5-12z | | 27*n= | | 0.5x+0.2(9-x)=3.6 | | X+(x+10)+(x+15)=180 | | 3w+2(5w-3)-92=p | | 5+2/3x=9 | | -24z+10=-5 | | 4y=3x-23 | | 5y=-7x-3 | | 6+0.4x=30 | | 0=8x^2-10x-105 | | 25(x+15)+25=65 | | 31+15-10=4x | | X=4y+13 | | X+x+x+x+x=x+x+10+10+7 | | 3(1-x)+4(x-5)=10 | | 8.1=0.9 | | 4(2k+7)=12 | | 8+3t=100 | | 5+3x=4+5x | | 13(4x-2)-2=50 | | 7+4x=34 | | 8s-8=56 |

Equations solver categories