3x^2-x^2-12x+4=0

Simple and best practice solution for 3x^2-x^2-12x+4=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-x^2-12x+4=0 equation: 


Simplifying
3x2 + -1x2 + -12x + 4 = 0

Reorder the terms:
4 + -12x + 3x2 + -1x2 = 0

Combine like terms: 3x2 + -1x2 = 2x2
4 + -12x + 2x2 = 0

Solving
4 + -12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
2 + -6x + x2 = 0

Solving
2 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -6x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -6x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -6x + x2 = 0 + -2
-6x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-6x + x2 = -2

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -2 + 9

Reorder the terms:
9 + -6x + x2 = -2 + 9

Combine like terms: -2 + 9 = 7
9 + -6x + x2 = 7

Factor a perfect square on the left side:
(x + -3)(x + -3) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + -3) equal to 2.645751311 and -2.645751311.


Subproblem 1
x + -3 = 2.645751311

Simplifying
x + -3 = 2.645751311

Reorder the terms:
-3 + x = 2.645751311

Solving
-3 + x = 2.645751311

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = 2.645751311 + 3

Combine like terms: -3 + 3 = 0
0 + x = 2.645751311 + 3
x = 2.645751311 + 3

Combine like terms: 2.645751311 + 3 = 5.645751311
x = 5.645751311

Simplifying
x = 5.645751311


Subproblem 2
x + -3 = -2.645751311

Simplifying
x + -3 = -2.645751311

Reorder the terms:
-3 + x = -2.645751311

Solving
-3 + x = -2.645751311

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = -2.645751311 + 3

Combine like terms: -3 + 3 = 0
0 + x = -2.645751311 + 3
x = -2.645751311 + 3

Combine like terms: -2.645751311 + 3 = 0.354248689
x = 0.354248689

Simplifying
x = 0.354248689


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.645751311, 0.354248689}
Solution
x = {5.645751311, 0.354248689}

See similar equations:

| 2x+9=2(x-7) | | 15y+12x=9.30 | | 5/11x=45/77x | | 2400x=720 | | .4+3=7 | | 50k-15=5(-k-8) | | .4a+3=7 | | 2(4s+1)=34 | | 3(x+-2)=9 | | 12(-0.85)+8=2x | | 5k-21=-3(k-8) | | 5(2l+9)=95 | | 5x-(8x-10)= | | 2(a-2)=34 | | 2x+3=4x+10 | | 5p-(-8.3)+3p=2 | | 32+-3x=2 | | (x-8)*9=81 | | 6(3x+4)-3(2x+x)=2(x+3) | | 2+x=4+0.2x | | x+(x+50)+(x-4)=781 | | 6/n=9/11 | | 35x^4+17x^2+2=0 | | x+(x-12)+(x-17)+(x+15)=245 | | (x-7)*3=12 | | 6x-8=9x+3 | | -28=-20r-10+2r | | 24=a+3 | | -x=(1/14)y^2 | | (x+5)*6=60 | | -4-x=16 | | 9y=x^2 |

Equations solver categories