3x^2-20x+10=0

Simple and best practice solution for 3x^2-20x+10=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+10=0 equation: 


Simplifying
3x2 + -20x + 10 = 0

Reorder the terms:
10 + -20x + 3x2 = 0

Solving
10 + -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'.
3.333333333 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -6.666666667x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -6.666666667x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -6.666666667x + x2 = 0 + -3.333333333
-6.666666667x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-6.666666667x + x2 = -3.333333333

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 = -3.333333333 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -3.333333333 + 11.11111112

Combine like terms: -3.333333333 + 11.11111112 = 7.777777787
11.11111112 + -6.666666667x + x2 = 7.777777787

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = 7.777777787

Calculate the square root of the right side: 2.788866757

Break this problem into two subproblems by setting 
(x + -3.333333334) equal to 2.788866757 and -2.788866757.


Subproblem 1
x + -3.333333334 = 2.788866757

Simplifying
x + -3.333333334 = 2.788866757

Reorder the terms:
-3.333333334 + x = 2.788866757

Solving
-3.333333334 + x = 2.788866757

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 = 2.788866757 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = 2.788866757 + 3.333333334
x = 2.788866757 + 3.333333334

Combine like terms: 2.788866757 + 3.333333334 = 6.122200091
x = 6.122200091

Simplifying
x = 6.122200091


Subproblem 2
x + -3.333333334 = -2.788866757

Simplifying
x + -3.333333334 = -2.788866757

Reorder the terms:
-3.333333334 + x = -2.788866757

Solving
-3.333333334 + x = -2.788866757

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 = -2.788866757 + 3.333333334

Combine like terms: -3.333333334 + 3.333333334 = 0.000000000
0.000000000 + x = -2.788866757 + 3.333333334
x = -2.788866757 + 3.333333334

Combine like terms: -2.788866757 + 3.333333334 = 0.544466577
x = 0.544466577

Simplifying
x = 0.544466577


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.122200091, 0.544466577}

See similar equations:

| 5x+4(x+11)= | | 3x+14+x=90 | | 8v^2-13v+5=0 | | 4/3*3.14*4^3= | | 10y-5-2y=6y-8+10 | | 2/3=2K | | 5y-8=x-6 | | 1-cosx=sinx*sinx/2 | | 11+5x=x-1+8x | | 6n^2-7n-90=0 | | 3x+36-4x=3-5x+5 | | 4x+t=3x-12 | | 28-12=4(x-8) | | 14x*3=90 | | 3*2=6X+4 | | x-.10x=21.60 | | (m-1)X^2-2mx+m+1=0 | | 2.34=y-2.51x | | -2x-16+x=2x+-x-4 | | 2.34=y-ax | | -3de+12cf=87c | | 2+3(2*x)=-2 | | (3/7)^2 | | b=84-2.51(26) | | y^6+y^2= | | 3(5m+2)=7(5m+7) | | -3(2+x)-3=2 | | 25m+5=5m+15 | | 2x-15=-15-3x | | 10m+48=51 | | 4+3(x-4)=4 | | y^6+y^2+y^4= |

Equations solver categories