16=20x-3x^2

Simple and best practice solution for 16=20x-3x^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 16=20x-3x^2 equation: 


Simplifying
16 = 20x + -3x2

Solving
16 = 20x + -3x2

Solving for variable 'x'.

Reorder the terms:
16 + -20x + 3x2 = 20x + -20x + -3x2 + 3x2

Combine like terms: 20x + -20x = 0
16 + -20x + 3x2 = 0 + -3x2 + 3x2
16 + -20x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
16 + -20x + 3x2 = 0

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

Divide each side by '3'.
5.333333333 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -6.666666667x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -6.666666667x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -6.666666667x + x2 = 0 + -5.333333333
-6.666666667x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-6.666666667x + x2 = -5.333333333

The x term is -6.666666667x.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667x + 11.11111112 + x2 = -5.333333333 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -5.333333333 + 11.11111112

Combine like terms: -5.333333333 + 11.11111112 = 5.777777787
11.11111112 + -6.666666667x + x2 = 5.777777787

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = 5.777777787

Calculate the square root of the right side: 2.403700852

Break this problem into two subproblems by setting 
(x + -3.333333334) equal to 2.403700852 and -2.403700852.


Subproblem 1
x + -3.333333334 = 2.403700852

Simplifying
x + -3.333333334 = 2.403700852

Reorder the terms:
-3.333333334 + x = 2.403700852

Solving
-3.333333334 + x = 2.403700852

Solving for variable 'x'.

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

Add '3.333333334' to each side of the equation.
-3.333333334 + 3.333333334 + x = 2.403700852 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = 2.403700852 + 3.333333334
x = 2.403700852 + 3.333333334

Combine like terms: 2.403700852 + 3.333333334 = 5.737034186
x = 5.737034186

Simplifying
x = 5.737034186


Subproblem 2
x + -3.333333334 = -2.403700852

Simplifying
x + -3.333333334 = -2.403700852

Reorder the terms:
-3.333333334 + x = -2.403700852

Solving
-3.333333334 + x = -2.403700852

Solving for variable 'x'.

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

Add '3.333333334' to each side of the equation.
-3.333333334 + 3.333333334 + x = -2.403700852 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = -2.403700852 + 3.333333334
x = -2.403700852 + 3.333333334

Combine like terms: -2.403700852 + 3.333333334 = 0.929632482
x = 0.929632482

Simplifying
x = 0.929632482


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.737034186, 0.929632482}

See similar equations:

| -7z+4.2+0.7z-3.8z-1= | | 0.9t=0.4+0.4t | | x^2+y^2-x+4y+4=0 | | -(6-2)=-8 | | 10(1+3b)=-30 | | 18/36 | | 8r-40rs+50s^2=0 | | x^2+125x-180=0 | | 6x-9=3x+6 | | 6x+5=17+5x | | 21/28=n/4 | | 60a^2-8a-32=0 | | 3(3x-7)=-30 | | 4x+9=-41-x | | 8rs-40rs+50s^2=0 | | 2/7=n/49 | | 83=4(1-3x)-5 | | 7x^(5/4)-35=0 | | 4(4x+1)=3x-4(6-x) | | -7+10=-5x-10 | | 4x=19+9 | | 3x-3=-33-3x | | 27w^2+9w-6=0 | | 2x+14=(2x+14)(x-5) | | 3x+8-7x=4 | | 1/2(3y-1)+1/4(6y+9) | | 3z-7=5+z | | 39=2x+2x+7 | | -2x+-6=2 | | -9-3x-2x=4x | | -9-3x-2x=44 | | 2m^2-10m-28=0 |

Equations solver categories