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

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


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

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

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

Solving
-4 + -12x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -3x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -3x + x2)' equal to zero and attempt to solve:

Simplifying
-1 + -3x + x2 = 0

Solving
-1 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -3x + 1 + x2 = 0 + 1

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

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

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

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 1 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 1 + 2.25

Combine like terms: 1 + 2.25 = 3.25
2.25 + -3x + x2 = 3.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 3.25

Calculate the square root of the right side: 1.802775638

Break this problem into two subproblems by setting 
(x + -1.5) equal to 1.802775638 and -1.802775638.


Subproblem 1
x + -1.5 = 1.802775638

Simplifying
x + -1.5 = 1.802775638

Reorder the terms:
-1.5 + x = 1.802775638

Solving
-1.5 + x = 1.802775638

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = 1.802775638 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = 1.802775638 + 1.5
x = 1.802775638 + 1.5

Combine like terms: 1.802775638 + 1.5 = 3.302775638
x = 3.302775638

Simplifying
x = 3.302775638


Subproblem 2
x + -1.5 = -1.802775638

Simplifying
x + -1.5 = -1.802775638

Reorder the terms:
-1.5 + x = -1.802775638

Solving
-1.5 + x = -1.802775638

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = -1.802775638 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = -1.802775638 + 1.5
x = -1.802775638 + 1.5

Combine like terms: -1.802775638 + 1.5 = -0.302775638
x = -0.302775638

Simplifying
x = -0.302775638


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.302775638, -0.302775638}
Solution
x = {3.302775638, -0.302775638}

See similar equations:

| 5y^2+6y-8= | | -6.5n+9.4+17.8m-9.7n-8.1m= | | 0=-4(4t^2-3t-52) | | -5x-3=33 | | 3x^2+x^2-12x-4=0 | | 0=x^2+17x+60 | | x^2-19x+80=-80 | | 3(x)=(x+6) | | 0=x^2+3x-18 | | 0=x^2+11x-12 | | 9b^2-16=0 | | (x-4)(x-1)(x+3)=0 | | (x+1)*4=(2x-5)*3 | | 47-x=23 | | (7x+6)+(5x)=90 | | (x^2-1)(x^2-25)=0 | | 18x+15=9x+47 | | 3(x)=(x+26) | | 3b=9 | | (7x+14)=48+(28x-28) | | 3b=7 | | 7x+14=48+28x-28 | | 3b+21=30 | | 4y-7=5+7y | | S^2-10s+14=14 | | 3r^2+5r+1=0 | | H=-16t^2+46t+6 | | x^3+y^4-3xy=0 | | r^2+15t+11=0 | | 13(4a+5b)-7(8a+3)= | | 15-7x=12x+6 | | -9a+48=1-7(1a-9) |

Equations solver categories