6x^2+-14x+-8=0

Simple and best practice solution for 6x^2+-14x+-8=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 6x^2+-14x+-8=0 equation: 


Simplifying
6x2 + -14x + -8 = 0

Reorder the terms:
-8 + -14x + 6x2 = 0

Solving
-8 + -14x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -7x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -7x + 3x2)' equal to zero and attempt to solve:

Simplifying
-4 + -7x + 3x2 = 0

Solving
-4 + -7x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-1.333333333 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '1.333333333' to each side of the equation.
-1.333333333 + -2.333333333x + 1.333333333 + x2 = 0 + 1.333333333

Reorder the terms:
-1.333333333 + 1.333333333 + -2.333333333x + x2 = 0 + 1.333333333

Combine like terms: -1.333333333 + 1.333333333 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + 1.333333333
-2.333333333x + x2 = 0 + 1.333333333

Combine like terms: 0 + 1.333333333 = 1.333333333
-2.333333333x + x2 = 1.333333333

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = 1.333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = 1.333333333 + 1.361111112

Combine like terms: 1.333333333 + 1.361111112 = 2.694444445
1.361111112 + -2.333333333x + x2 = 2.694444445

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 2.694444445

Calculate the square root of the right side: 1.6414763

Break this problem into two subproblems by setting 
(x + -1.166666667) equal to 1.6414763 and -1.6414763.


Subproblem 1
x + -1.166666667 = 1.6414763

Simplifying
x + -1.166666667 = 1.6414763

Reorder the terms:
-1.166666667 + x = 1.6414763

Solving
-1.166666667 + x = 1.6414763

Solving for variable 'x'.

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

Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = 1.6414763 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = 1.6414763 + 1.166666667
x = 1.6414763 + 1.166666667

Combine like terms: 1.6414763 + 1.166666667 = 2.808142967
x = 2.808142967

Simplifying
x = 2.808142967


Subproblem 2
x + -1.166666667 = -1.6414763

Simplifying
x + -1.166666667 = -1.6414763

Reorder the terms:
-1.166666667 + x = -1.6414763

Solving
-1.166666667 + x = -1.6414763

Solving for variable 'x'.

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

Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -1.6414763 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -1.6414763 + 1.166666667
x = -1.6414763 + 1.166666667

Combine like terms: -1.6414763 + 1.166666667 = -0.474809633
x = -0.474809633

Simplifying
x = -0.474809633


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.808142967, -0.474809633}
Solution
x = {2.808142967, -0.474809633}

See similar equations:

| 3x+8-4=10 | | 6x-14x-8=0 | | 4/3r=-24/ | | ln(6)+ln(x-1)=ln(3x) | | 15/2x/3=4 | | ln*5+ln(x-2)=1 | | 7-(5+2x)=5x-12 | | (2x+1)(4x-3)=(6x+1) | | 3w^3-10w^2+2w=0 | | 6a-1=-8 | | 6k-1=-8 | | -x*-x+6=70 | | y=1.5*x+0.75 | | 49x^4+98x^3+82x^2+45x+12=0 | | y=px^2+8x+p-6 | | 3f/9f | | 15x+10=0.5x+200 | | 10x+10=0.5x+200 | | 20x+10=30x | | 0.35x=0.10x+10 | | 0.35x=0 | | 3(2x+5)=4(X-6) | | (3x-1)(x-9)=(x+2)(x-4) | | (5x+4)+(4x+6)+(3x+15)+(3x+15)= | | a^2=-16 | | 2x^2+3x-34=0 | | (5x+4)+(4x+6)+(3x+15)= | | D^2+d-30=0 | | K^2-10k=24 | | 12+x^3=1137 | | k^2=-61 | | k^2=-21 |

Equations solver categories