3x^2-20x-50=0

Simple and best practice solution for 3x^2-20x-50=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 3x^2-20x-50=0 equation: 


Simplifying
3x2 + -20x + -50 = 0

Reorder the terms:
-50 + -20x + 3x2 = 0

Solving
-50 + -20x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-16.66666667 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '16.66666667' to each side of the equation.
-16.66666667 + -6.666666667x + 16.66666667 + x2 = 0 + 16.66666667

Reorder the terms:
-16.66666667 + 16.66666667 + -6.666666667x + x2 = 0 + 16.66666667

Combine like terms: -16.66666667 + 16.66666667 = 0.00000000
0.00000000 + -6.666666667x + x2 = 0 + 16.66666667
-6.666666667x + x2 = 0 + 16.66666667

Combine like terms: 0 + 16.66666667 = 16.66666667
-6.666666667x + x2 = 16.66666667

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 = 16.66666667 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = 16.66666667 + 11.11111112

Combine like terms: 16.66666667 + 11.11111112 = 27.77777779
11.11111112 + -6.666666667x + x2 = 27.77777779

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = 27.77777779

Calculate the square root of the right side: 5.270462768

Break this problem into two subproblems by setting 
(x + -3.333333334) equal to 5.270462768 and -5.270462768.


Subproblem 1
x + -3.333333334 = 5.270462768

Simplifying
x + -3.333333334 = 5.270462768

Reorder the terms:
-3.333333334 + x = 5.270462768

Solving
-3.333333334 + x = 5.270462768

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 = 5.270462768 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = 5.270462768 + 3.333333334
x = 5.270462768 + 3.333333334

Combine like terms: 5.270462768 + 3.333333334 = 8.603796102
x = 8.603796102

Simplifying
x = 8.603796102


Subproblem 2
x + -3.333333334 = -5.270462768

Simplifying
x + -3.333333334 = -5.270462768

Reorder the terms:
-3.333333334 + x = -5.270462768

Solving
-3.333333334 + x = -5.270462768

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 = -5.270462768 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = -5.270462768 + 3.333333334
x = -5.270462768 + 3.333333334

Combine like terms: -5.270462768 + 3.333333334 = -1.937129434
x = -1.937129434

Simplifying
x = -1.937129434


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.603796102, -1.937129434}

See similar equations:

| 15x=7X+7+6 | | 0.6(-x)+0.2(x-5)=10 | | Y=3(8)-1 | | 12x^3+30x^2-19x+84=0 | | 16+8x=6(x+4) | | 15=7X+7+6 | | -2(5x-5)=-6x-34 | | 40+45n=12n+12 | | (4x+10)-(20-5x)=0 | | 7n+5=6n+25 | | 14n+2=75 | | 2x^3-x^2+8x-4= | | Y-4y=3 | | 4(-6-k)=-12-7k | | 2.67+3n=.8n+12 | | x/9=18-11 | | 8(7-m)=4m-4 | | -3x=-19 | | r-1=11+7r | | 5x-66=3x+14 | | 5x-4x+2=19 | | 100x=x+9 | | 2.67*x=80000 | | 3+3n=n+12 | | 9a-9=63 | | 12x^3+30x^2-18x= | | 3n-6=n-4 | | x+.33x=250 | | 3x-6=-2x+-26 | | 2/3~5/6 | | 6+4m=9.6+8m | | 1-5n=-8n-11 |

Equations solver categories