0=40+20x-5x^2

Simple and best practice solution for 0=40+20x-5x^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 0=40+20x-5x^2 equation: 


Simplifying
0 = 40 + 20x + -5x2

Solving
0 = 40 + 20x + -5x2

Solving for variable 'x'.

Combine like terms: 0 + -40 = -40
-40 + -20x + 5x2 = 40 + 20x + -5x2 + -40 + -20x + 5x2

Reorder the terms:
-40 + -20x + 5x2 = 40 + -40 + 20x + -20x + -5x2 + 5x2

Combine like terms: 40 + -40 = 0
-40 + -20x + 5x2 = 0 + 20x + -20x + -5x2 + 5x2
-40 + -20x + 5x2 = 20x + -20x + -5x2 + 5x2

Combine like terms: 20x + -20x = 0
-40 + -20x + 5x2 = 0 + -5x2 + 5x2
-40 + -20x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-40 + -20x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + -4x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-8 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
-8 + -4x + x2 = 0

Solving
-8 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -4x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + -4x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -4x + x2 = 0 + 8
-4x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-4x + x2 = 8

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 8 + 4

Reorder the terms:
4 + -4x + x2 = 8 + 4

Combine like terms: 8 + 4 = 12
4 + -4x + x2 = 12

Factor a perfect square on the left side:
(x + -2)(x + -2) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting 
(x + -2) equal to 3.464101615 and -3.464101615.


Subproblem 1
x + -2 = 3.464101615

Simplifying
x + -2 = 3.464101615

Reorder the terms:
-2 + x = 3.464101615

Solving
-2 + x = 3.464101615

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 3.464101615 + 2

Combine like terms: -2 + 2 = 0
0 + x = 3.464101615 + 2
x = 3.464101615 + 2

Combine like terms: 3.464101615 + 2 = 5.464101615
x = 5.464101615

Simplifying
x = 5.464101615


Subproblem 2
x + -2 = -3.464101615

Simplifying
x + -2 = -3.464101615

Reorder the terms:
-2 + x = -3.464101615

Solving
-2 + x = -3.464101615

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -3.464101615 + 2

Combine like terms: -2 + 2 = 0
0 + x = -3.464101615 + 2
x = -3.464101615 + 2

Combine like terms: -3.464101615 + 2 = -1.464101615
x = -1.464101615

Simplifying
x = -1.464101615


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.464101615, -1.464101615}
Solution
x = {5.464101615, -1.464101615}

See similar equations:

| -14=4(s+14)-18 | | n-5x(-2)=14 | | -8+23=-10 | | 22+16=62-12 | | P+29=89 | | 7p-44+5p=-20 | | 2(v-14)-9=1 | | 4072-01-02-05-00_files/i0090000.jpg | | H-6=8 | | 3-g=16 | | -6p-50+10p=42 | | (10.3)+(0.01345)= | | 14-8v=7v+8 | | 37-F=8 | | -5r+-250-12=-17 | | 5-nx(-2)=14 | | 6=t-d | | P-9=6 | | 174/100 | | x^2+440x+193600=0 | | 35000=33113+600t | | 1+2x=5+x | | -6x+24+4=-44 | | 4w-6+3w=36 | | 35000=33113+600 | | 6-3=4 | | -6r+288+-6=-6 | | 87-f=38 | | 5x^2-75=5 | | 62-d=54 | | W-10=9 | | 99-h=72 |

Equations solver categories