3*x^2-3x-3x+9-12=0

Simple and best practice solution for 3*x^2-3x-3x+9-12=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 3*x^2-3x-3x+9-12=0 equation: 


Simplifying
3x2 + -3x + -3x + 9 + -12 = 0

Reorder the terms:
9 + -12 + -3x + -3x + 3x2 = 0

Combine like terms: 9 + -12 = -3
-3 + -3x + -3x + 3x2 = 0

Combine like terms: -3x + -3x = -6x
-3 + -6x + 3x2 = 0

Solving
-3 + -6x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -2x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-1 + -2x + x2 = 0

Solving
-1 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -2x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -2x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x + x2 = 0 + 1
-2x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2x + x2 = 1

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 1 + 1

Reorder the terms:
1 + -2x + x2 = 1 + 1

Combine like terms: 1 + 1 = 2
1 + -2x + x2 = 2

Factor a perfect square on the left side:
(x + -1)(x + -1) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(x + -1) equal to 1.414213562 and -1.414213562.


Subproblem 1
x + -1 = 1.414213562

Simplifying
x + -1 = 1.414213562

Reorder the terms:
-1 + x = 1.414213562

Solving
-1 + x = 1.414213562

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = 1.414213562 + 1

Combine like terms: -1 + 1 = 0
0 + x = 1.414213562 + 1
x = 1.414213562 + 1

Combine like terms: 1.414213562 + 1 = 2.414213562
x = 2.414213562

Simplifying
x = 2.414213562


Subproblem 2
x + -1 = -1.414213562

Simplifying
x + -1 = -1.414213562

Reorder the terms:
-1 + x = -1.414213562

Solving
-1 + x = -1.414213562

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = -1.414213562 + 1

Combine like terms: -1 + 1 = 0
0 + x = -1.414213562 + 1
x = -1.414213562 + 1

Combine like terms: -1.414213562 + 1 = -0.414213562
x = -0.414213562

Simplifying
x = -0.414213562


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.414213562, -0.414213562}
Solution
x = {2.414213562, -0.414213562}

See similar equations:

| 3+6=-24 | | 104=8(1-4x) | | -9x+5(2x-5)=-18-6x | | 2-(-2)+12=0 | | 3d/6+5/6 | | 105=7(4x-5) | | 16+k*2+1/2*k*2=64 | | u^2+19u=-12 | | c^3+2c^2d-cd^2-2d^3=0 | | 3/4(24-3b)=2(5b+1) | | x+4(3)=(5)x-10 | | 3/4(24-3b) | | 4x+.5=-3x+1.4 | | m/-5+13=-20 | | 2x/6=8 | | 13t-7-10t=3 | | -9x+1.6=-8x+1,1 | | 3*3/5 | | 3+4x+4=159 | | f(x)=7-2x | | 175000.00+550x=35000.00+1680x | | C^8-81=0 | | 5.6x=-3.12 | | -5(d+5)= | | 5(d+4)= | | m+2m-6m+7= | | x^2-15x-198=0 | | c=7.50+35.50t | | -4=7(x-1)+3 | | 3(x+1)+x+2=4X+2+3 | | 1.25m+0.125m=1.375+m | | 8(1+8)=376 |

Equations solver categories