0=3x^2-12x+20

Simple and best practice solution for 0=3x^2-12x+20 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=3x^2-12x+20 equation: 


Simplifying
0 = 3x2 + -12x + 20

Reorder the terms:
0 = 20 + -12x + 3x2

Solving
0 = 20 + -12x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -20 = -20
-20 + 12x + -3x2 = 20 + -12x + 3x2 + -20 + 12x + -3x2

Reorder the terms:
-20 + 12x + -3x2 = 20 + -20 + -12x + 12x + 3x2 + -3x2

Combine like terms: 20 + -20 = 0
-20 + 12x + -3x2 = 0 + -12x + 12x + 3x2 + -3x2
-20 + 12x + -3x2 = -12x + 12x + 3x2 + -3x2

Combine like terms: -12x + 12x = 0
-20 + 12x + -3x2 = 0 + 3x2 + -3x2
-20 + 12x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20 + 12x + -3x2 = 0

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

Divide each side by '-3'.
6.666666667 + -4x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -4x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -4x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -4x + x2 = 0 + -6.666666667
-4x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-4x + x2 = -6.666666667

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 = -6.666666667 + 4

Reorder the terms:
4 + -4x + x2 = -6.666666667 + 4

Combine like terms: -6.666666667 + 4 = -2.666666667
4 + -4x + x2 = -2.666666667

Factor a perfect square on the left side:
(x + -2)(x + -2) = -2.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6(8x-4)=9x-3 | | (6b^2)-13b+6=0 | | 5x-10+6=7x+18-5x | | y=3/4*2/4 | | 23t^2-54t+16=0 | | 4.08/.048= | | y+9x=3 | | 413=-7(8a+5) | | 3x^2-y^2+12x-14y-40=0 | | 1=3-5x | | 2b-3.4/0.6=-29 | | -4x=2x+9 | | 4x^6-20x^4+24x^2=0 | | 9g+5-2g=12+10g-6 | | 8x^2-34x+13=0 | | 2x+2=12x-21 | | (9p-8)(9p-8)=-2(9p-8)+15 | | -6(-5+4)= | | -153=-1-4(8+5x) | | 13=-3n-17 | | 3a+5b-3a-b= | | 2x^2+18x-2=0 | | 0.25a-12/8=4 | | -(p-2)=8-2p | | x^2-10x+45=8120 | | 1.5x+1=-3.3 | | x^2-10x+45= | | 8x-7+8x=-23 | | Y^4-10y^2=-9 | | v^4-1= | | 8x+23-6x+23=-4 | | x^2+x-110= |

Equations solver categories