0=3x^2-12x+13

Simple and best practice solution for 0=3x^2-12x+13 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+13 equation: 


Simplifying
0 = 3x2 + -12x + 13

Reorder the terms:
0 = 13 + -12x + 3x2

Solving
0 = 13 + -12x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -13 = -13
-13 + 12x + -3x2 = 13 + -12x + 3x2 + -13 + 12x + -3x2

Reorder the terms:
-13 + 12x + -3x2 = 13 + -13 + -12x + 12x + 3x2 + -3x2

Combine like terms: 13 + -13 = 0
-13 + 12x + -3x2 = 0 + -12x + 12x + 3x2 + -3x2
-13 + 12x + -3x2 = -12x + 12x + 3x2 + -3x2

Combine like terms: -12x + 12x = 0
-13 + 12x + -3x2 = 0 + 3x2 + -3x2
-13 + 12x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-13 + 12x + -3x2 = 0

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

Divide each side by '-3'.
4.333333333 + -4x + x2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + -4x + -4.333333333 + x2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + -4x + x2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + -4x + x2 = 0 + -4.333333333
-4x + x2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
-4x + x2 = -4.333333333

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 = -4.333333333 + 4

Reorder the terms:
4 + -4x + x2 = -4.333333333 + 4

Combine like terms: -4.333333333 + 4 = -0.333333333
4 + -4x + x2 = -0.333333333

Factor a perfect square on the left side:
(x + -2)(x + -2) = -0.333333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 12.53+0.06h(x+3)=13.03-0.11x | | 3(w+5)-(-8w-4)=10w | | x+(x+2)=10+x^2 | | 8d-31=33 | | x+6=24-2x | | 5x^3-16x^2-16x= | | x^2+2x-9=-6 | | 12=5ax+3a | | 18y+30=39 | | x^(2/5)=32 | | m^2+16+68=5 | | 102+44x+26=15 | | 7x+6x-34=68-4x | | x+10=-6x-52 | | 62=-12x+14 | | 0.49x^2-5x-5000=0 | | -2+12+3x=6+x+6 | | 8(x+12x)=100 | | 12v^2=4+12v | | m^2+16m+68=5 | | log(4x+3)=1+log(x-7) | | c(x)=2500+4.8x+0.002x^2 | | x*(x+3)=28 | | 9-3x-3=-3*x-2 | | 1/2x^-1/2(1/2x^-1/2-2) | | V-47=-74 | | 2w-3v=4 | | (x+7)(x+17)+y=180 | | f(x)=3x^2+kx+4 | | (x+7)(x+17)y=180 | | -18+25x-10x^2+x^3=0 | | 14=2x+20 |

Equations solver categories