x(3x-12)=-16

Simple and best practice solution for x(3x-12)=-16 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 x(3x-12)=-16 equation:


Simplifying
x(3x + -12) = -16

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

Solving
-12x + 3x2 = -16

Solving for variable 'x'.

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

Combine like terms: -16 + 16 = 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:

| h=60 | | m+7=3m+79 | | 3x+2y-x-(8+1)= | | factorisey^3+2y^2+2y=12 | | (2g-3)2= | | 8x*16.5x=28 | | X^2+17x+118= | | 3cos^2x-1-2cosx=0 | | 16x^5-8x^7=0 | | y=x^3+5 | | 5u^2+14u+9=0 | | 8x*16x=28 | | 4+-28=-108 | | 3q=-6 | | 6x-x+15=35 | | 0.65/0.65 | | x-65=-76 | | m^2+2m+4=7 | | 8x-26=22 | | 16a+4=88 | | (9x+14)=0 | | 2(y+6)=2y+12 | | 3cos^2x-1=2cosx | | 8+4x=136 | | (2x-4)(9x+2)=0 | | y=9x+48 | | z^2+16*z^2=0 | | 8n-40=104 | | (7x-1)(2x+9)=0 | | -3*6*-4= | | 2a+8= | | 3x= 2y+27 |

Equations solver categories