700=700x-2x^2

Simple and best practice solution for 700=700x-2x^2 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 700=700x-2x^2 equation: 


Simplifying
700 = 700x + -2x2

Solving
700 = 700x + -2x2

Solving for variable 'x'.

Reorder the terms:
700 + -700x + 2x2 = 700x + -700x + -2x2 + 2x2

Combine like terms: 700x + -700x = 0
700 + -700x + 2x2 = 0 + -2x2 + 2x2
700 + -700x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
700 + -700x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(350 + -350x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(350 + -350x + x2)' equal to zero and attempt to solve:

Simplifying
350 + -350x + x2 = 0

Solving
350 + -350x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is -350x.  Take half its coefficient (-175).
Square it (30625) and add it to both sides.

Add '30625' to each side of the equation.
-350x + 30625 + x2 = -350 + 30625

Reorder the terms:
30625 + -350x + x2 = -350 + 30625

Combine like terms: -350 + 30625 = 30275
30625 + -350x + x2 = 30275

Factor a perfect square on the left side:
(x + -175)(x + -175) = 30275

Calculate the square root of the right side: 173.997126413

Break this problem into two subproblems by setting 
(x + -175) equal to 173.997126413 and -173.997126413.


Subproblem 1
x + -175 = 173.997126413

Simplifying
x + -175 = 173.997126413

Reorder the terms:
-175 + x = 173.997126413

Solving
-175 + x = 173.997126413

Solving for variable 'x'.

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

Add '175' to each side of the equation.
-175 + 175 + x = 173.997126413 + 175

Combine like terms: -175 + 175 = 0
0 + x = 173.997126413 + 175
x = 173.997126413 + 175

Combine like terms: 173.997126413 + 175 = 348.997126413
x = 348.997126413

Simplifying
x = 348.997126413


Subproblem 2
x + -175 = -173.997126413

Simplifying
x + -175 = -173.997126413

Reorder the terms:
-175 + x = -173.997126413

Solving
-175 + x = -173.997126413

Solving for variable 'x'.

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

Add '175' to each side of the equation.
-175 + 175 + x = -173.997126413 + 175

Combine like terms: -175 + 175 = 0
0 + x = -173.997126413 + 175
x = -173.997126413 + 175

Combine like terms: -173.997126413 + 175 = 1.002873587
x = 1.002873587

Simplifying
x = 1.002873587


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {348.997126413, 1.002873587}
Solution
x = {348.997126413, 1.002873587}

See similar equations:

| y=700x-2x^2 | | X=14.5+-2.5y | | KR+T=Z-BR | | 2y+2x+3y-1=28 | | (3+6)(3y+6)=36 | | 10+2d=10 | | 5Y^2+40Y+84=X | | -4n/3=12 | | 50x-x^2=49 | | (6x)(9x-1)=0 | | (6x)(9x+1)= | | 20x^2-56x=0 | | F(x)=sin(6x) | | X^2+9Y^2-2X-4Y-28=0 | | 4x^3-32(2x)=0 | | 8x+2x-6=36 | | (8x+9)((8x^2)+2x+3)= | | 3log(9)= | | t^2+3t-20=0 | | 0.75x+0.25(x+12.4)+(x-2.1)= | | (-7x^7)^3x2x^2y^6/y | | 5/73= | | 73/5= | | 12/10000=x/500 | | (m+-1n+k)(m+7n+-7k)=0 | | 65/s=15 | | 144/12=n | | 144+12=n | | 4x-8+2x=3x-5 | | 38x+40=12 | | (M-n+k)(m+7n-7k)=0 | | 4x+2y=160 |

Equations solver categories