2x^2-250x+500=0

Simple and best practice solution for 2x^2-250x+500=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 2x^2-250x+500=0 equation: 


Simplifying
2x2 + -250x + 500 = 0

Reorder the terms:
500 + -250x + 2x2 = 0

Solving
500 + -250x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(250 + -125x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(250 + -125x + x2)' equal to zero and attempt to solve:

Simplifying
250 + -125x + x2 = 0

Solving
250 + -125x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-250' to each side of the equation.
250 + -125x + -250 + x2 = 0 + -250

Reorder the terms:
250 + -250 + -125x + x2 = 0 + -250

Combine like terms: 250 + -250 = 0
0 + -125x + x2 = 0 + -250
-125x + x2 = 0 + -250

Combine like terms: 0 + -250 = -250
-125x + x2 = -250

The x term is -125x.  Take half its coefficient (-62.5).
Square it (3906.25) and add it to both sides.

Add '3906.25' to each side of the equation.
-125x + 3906.25 + x2 = -250 + 3906.25

Reorder the terms:
3906.25 + -125x + x2 = -250 + 3906.25

Combine like terms: -250 + 3906.25 = 3656.25
3906.25 + -125x + x2 = 3656.25

Factor a perfect square on the left side:
(x + -62.5)(x + -62.5) = 3656.25

Calculate the square root of the right side: 60.466933112

Break this problem into two subproblems by setting 
(x + -62.5) equal to 60.466933112 and -60.466933112.


Subproblem 1
x + -62.5 = 60.466933112

Simplifying
x + -62.5 = 60.466933112

Reorder the terms:
-62.5 + x = 60.466933112

Solving
-62.5 + x = 60.466933112

Solving for variable 'x'.

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

Add '62.5' to each side of the equation.
-62.5 + 62.5 + x = 60.466933112 + 62.5

Combine like terms: -62.5 + 62.5 = 0.0
0.0 + x = 60.466933112 + 62.5
x = 60.466933112 + 62.5

Combine like terms: 60.466933112 + 62.5 = 122.966933112
x = 122.966933112

Simplifying
x = 122.966933112


Subproblem 2
x + -62.5 = -60.466933112

Simplifying
x + -62.5 = -60.466933112

Reorder the terms:
-62.5 + x = -60.466933112

Solving
-62.5 + x = -60.466933112

Solving for variable 'x'.

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

Add '62.5' to each side of the equation.
-62.5 + 62.5 + x = -60.466933112 + 62.5

Combine like terms: -62.5 + 62.5 = 0.0
0.0 + x = -60.466933112 + 62.5
x = -60.466933112 + 62.5

Combine like terms: -60.466933112 + 62.5 = 2.033066888
x = 2.033066888

Simplifying
x = 2.033066888


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {122.966933112, 2.033066888}
Solution
x = {122.966933112, 2.033066888}

See similar equations:

| -7-(-4x)=-4x | | 6-2(3x+7)=16-11x | | 3n^2-20n+20=0 | | 2500=x-.07x | | 3x^2-12=288 | | 1.25+b=1.6 | | 7x+30=y | | -1.7th=-2.2-3.4 | | 4x+20=8x-20 | | 5i+10=2i-5 | | 2(c-6)=14 | | 8-2p=0 | | 3.3y+21.5=-8.4-5.9y | | 9-i+11+1i= | | 9-i= | | ln(5x-2)=2 | | 19+4q-7-6q=5q | | 2.3+10m=7.59 | | x^3+1.2x^2=4x+4.8 | | -6+y=-12,5 | | -8x^2=3+x | | n^2-15n-36=0 | | 2x+3+4x+2= | | 20-g=5g+18 | | 20-g=5g+183 | | 6cos^2x-5*sin*X+5=o | | x(x+10)=x+7 | | 6co^2x-5*sin*X+5=o | | 11-5x=5x-10 | | 5(2x-1)+7(4x+2)=0 | | 2(x-2)-3(x-3)=(x-5) | | 2-4x=6-5x |

Equations solver categories