3x^2-12x-16=0

Simple and best practice solution for 3x^2-12x-16=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^2-12x-16=0 equation: 


Simplifying
3x2 + -12x + -16 = 0

Reorder the terms:
-16 + -12x + 3x2 = 0

Solving
-16 + -12x + 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'.
-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 = 9.333333333
4 + -4x + x2 = 9.333333333

Factor a perfect square on the left side:
(x + -2)(x + -2) = 9.333333333

Calculate the square root of the right side: 3.055050463

Break this problem into two subproblems by setting 
(x + -2) equal to 3.055050463 and -3.055050463.


Subproblem 1
x + -2 = 3.055050463

Simplifying
x + -2 = 3.055050463

Reorder the terms:
-2 + x = 3.055050463

Solving
-2 + x = 3.055050463

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + x = 3.055050463 + 2

Combine like terms: -2 + 2 = 0
0 + x = 3.055050463 + 2
x = 3.055050463 + 2

Combine like terms: 3.055050463 + 2 = 5.055050463
x = 5.055050463

Simplifying
x = 5.055050463


Subproblem 2
x + -2 = -3.055050463

Simplifying
x + -2 = -3.055050463

Reorder the terms:
-2 + x = -3.055050463

Solving
-2 + x = -3.055050463

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + x = -3.055050463 + 2

Combine like terms: -2 + 2 = 0
0 + x = -3.055050463 + 2
x = -3.055050463 + 2

Combine like terms: -3.055050463 + 2 = -1.055050463
x = -1.055050463

Simplifying
x = -1.055050463


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.055050463, -1.055050463}

See similar equations:

| 130+5x=100-7x | | 2+2+2a=a | | x^2+25.48x-655.46=0 | | z-8z=9z-4-2 | | y=-5/9(3)+3 | | 3x-3(-x-18)=0 | | (5/6)^-3 | | x^2+29.4x-750=0 | | y=-5/9(-0.5556)+3 | | 4x-3x+2=5 | | 5/6x+2 | | y=-5/9(0.5556)+3 | | 2x-1=10x+15 | | -94+(-27)= | | 2(-5)-5y=-10 | | x/489100-X | | 4x-5=7x-7 | | 2(-5)-5=10 | | 14x=7x+12 | | 3x+2x-1=4 | | 4x-5=7-7 | | -10x-y=20 | | y-(2-3y)=-6 | | 11x-6=7x+2 | | x-4/7= | | x+5x/4=63 | | x+(x-5)+(x-6)+x/2=38 | | 1/3x2+1=33 | | 80=38+x-10 | | 3x+8=-(x-17) | | 50+20=x | | 7a-8b+a+9c+4c+11b= |

Equations solver categories