12x=16+3x^2

Simple and best practice solution for 12x=16+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 12x=16+3x^2 equation: 


Simplifying
12x = 16 + 3x2

Solving
12x = 16 + 3x2

Solving for variable 'x'.

Reorder the terms:
-16 + 12x + -3x2 = 16 + 3x2 + -16 + -3x2

Reorder the terms:
-16 + 12x + -3x2 = 16 + -16 + 3x2 + -3x2

Combine like terms: 16 + -16 = 0
-16 + 12x + -3x2 = 0 + 3x2 + -3x2
-16 + 12x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-16 + 12x + -3x2 = 0

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

Divide each side by '-3'.
5.333333333 + -4x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -4x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -4x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -4x + x2 = 0 + -5.333333333
-4x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-4x + x2 = -5.333333333

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 = -5.333333333 + 4

Reorder the terms:
4 + -4x + x2 = -5.333333333 + 4

Combine like terms: -5.333333333 + 4 = -1.333333333
4 + -4x + x2 = -1.333333333

Factor a perfect square on the left side:
(x + -2)(x + -2) = -1.333333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -2n-(9+10n)= | | 9x^2+5x-144=0 | | 8x+22+x+23=180 | | 3(33)-2+2(33)+17=180 | | 16.5*10=20x | | 19j^2-11j=0 | | 16.5*10=20y | | 1/3x-22=x | | 2x-(x+1)=-3+4(x-7) | | -4m+-2m+-8m= | | 12x-16-3x^2=0 | | y=(x^4)+4(x^4+4) | | 3x-2+2x+17=180 | | 23f^2+24f=0 | | 3(3x+1)+4(x-2)=0 | | 8p+3=7p+8 | | g+g+g+g+g+g+g+g+g= | | s^2-27s=0 | | x^2+10x-7200=0 | | x+27=39 | | 5x-8=12x-11 | | 9m+12=4m-3 | | 4x-8+2x=40 | | 8x^2+6x-1224=0 | | -4/3x+7=-4/5x-1/3 | | 3x-4+16=-16 | | 22j^2-47j=0 | | (5y+2)+14x=5y+(2+14x) | | 6-6d+2d=-17 | | 3k-7=17 | | 2(3x-5)+3=(3x-1)-2(x-2) | | x/4-1/2=3/4 |

Equations solver categories