14y^2-7000y+3=0

Simple and best practice solution for 14y^2-7000y+3=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 14y^2-7000y+3=0 equation: 


Simplifying
14y2 + -7000y + 3 = 0

Reorder the terms:
3 + -7000y + 14y2 = 0

Solving
3 + -7000y + 14y2 = 0

Solving for variable 'y'.

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

Divide each side by '14'.
0.2142857143 + -500y + y2 = 0

Move the constant term to the right:

Add '-0.2142857143' to each side of the equation.
0.2142857143 + -500y + -0.2142857143 + y2 = 0 + -0.2142857143

Reorder the terms:
0.2142857143 + -0.2142857143 + -500y + y2 = 0 + -0.2142857143

Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000
0.0000000000 + -500y + y2 = 0 + -0.2142857143
-500y + y2 = 0 + -0.2142857143

Combine like terms: 0 + -0.2142857143 = -0.2142857143
-500y + y2 = -0.2142857143

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

Add '62500' to each side of the equation.
-500y + 62500 + y2 = -0.2142857143 + 62500

Reorder the terms:
62500 + -500y + y2 = -0.2142857143 + 62500

Combine like terms: -0.2142857143 + 62500 = 62499.7857142857
62500 + -500y + y2 = 62499.7857142857

Factor a perfect square on the left side:
(y + -250)(y + -250) = 62499.7857142857

Calculate the square root of the right side: 249.999571428

Break this problem into two subproblems by setting 
(y + -250) equal to 249.999571428 and -249.999571428.


Subproblem 1
y + -250 = 249.999571428

Simplifying
y + -250 = 249.999571428

Reorder the terms:
-250 + y = 249.999571428

Solving
-250 + y = 249.999571428

Solving for variable 'y'.

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

Add '250' to each side of the equation.
-250 + 250 + y = 249.999571428 + 250

Combine like terms: -250 + 250 = 0
0 + y = 249.999571428 + 250
y = 249.999571428 + 250

Combine like terms: 249.999571428 + 250 = 499.999571428
y = 499.999571428

Simplifying
y = 499.999571428


Subproblem 2
y + -250 = -249.999571428

Simplifying
y + -250 = -249.999571428

Reorder the terms:
-250 + y = -249.999571428

Solving
-250 + y = -249.999571428

Solving for variable 'y'.

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

Add '250' to each side of the equation.
-250 + 250 + y = -249.999571428 + 250

Combine like terms: -250 + 250 = 0
0 + y = -249.999571428 + 250
y = -249.999571428 + 250

Combine like terms: -249.999571428 + 250 = 0.000428572
y = 0.000428572

Simplifying
y = 0.000428572


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {499.999571428, 0.000428572}

See similar equations:

| 8x-2y+9=0 | | 7x^2+6-7000x=0 | | U=x-k+y | | x-3=-12+1 | | x+2y+3x-2y-5=4+x | | 5k^2-13k-29=0 | | 1-9/x=4 | | 35x=710 | | 14y^2-7000y=3 | | -z-z=-3(z-2) | | 105-72x-53-69=55x+43x-23-170x+6 | | 7x+30=70 | | 7x+50=70 | | 2x+50=300 | | 21y+14y^2=1000 | | -9+2x=x-4 | | 3p-5p=-p+5 | | 5x+10=500 | | x+3=12-13 | | 3=1000y-2y^2 | | -5-5n=100 | | 6lgx=0 | | 12x+8=128 | | 3/y=1000 | | 12x+8=120 | | tan(xy)=xy | | 3x+175.5=10x-53 | | 551=-19k | | 25x^3-36x= | | 7x+29=62+2x | | 15x=150-15x | | 3-5x+4=-1+3x |

Equations solver categories