6x^2-14x-7=0

Simple and best practice solution for 6x^2-14x-7=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-7=0 equation: 


Simplifying
6x2 + -14x + -7 = 0

Reorder the terms:
-7 + -14x + 6x2 = 0

Solving
-7 + -14x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
-1.166666667 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '1.166666667' to each side of the equation.
-1.166666667 + -2.333333333x + 1.166666667 + x2 = 0 + 1.166666667

Reorder the terms:
-1.166666667 + 1.166666667 + -2.333333333x + x2 = 0 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + 1.166666667
-2.333333333x + x2 = 0 + 1.166666667

Combine like terms: 0 + 1.166666667 = 1.166666667
-2.333333333x + x2 = 1.166666667

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 = 1.166666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = 1.166666667 + 1.361111112

Combine like terms: 1.166666667 + 1.361111112 = 2.527777779
1.361111112 + -2.333333333x + x2 = 2.527777779

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 2.527777779

Calculate the square root of the right side: 1.589898669

Break this problem into two subproblems by setting 
(x + -1.166666667) equal to 1.589898669 and -1.589898669.


Subproblem 1
x + -1.166666667 = 1.589898669

Simplifying
x + -1.166666667 = 1.589898669

Reorder the terms:
-1.166666667 + x = 1.589898669

Solving
-1.166666667 + x = 1.589898669

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 = 1.589898669 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = 1.589898669 + 1.166666667
x = 1.589898669 + 1.166666667

Combine like terms: 1.589898669 + 1.166666667 = 2.756565336
x = 2.756565336

Simplifying
x = 2.756565336


Subproblem 2
x + -1.166666667 = -1.589898669

Simplifying
x + -1.166666667 = -1.589898669

Reorder the terms:
-1.166666667 + x = -1.589898669

Solving
-1.166666667 + x = -1.589898669

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 = -1.589898669 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -1.589898669 + 1.166666667
x = -1.589898669 + 1.166666667

Combine like terms: -1.589898669 + 1.166666667 = -0.423232002
x = -0.423232002

Simplifying
x = -0.423232002


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.756565336, -0.423232002}

See similar equations:

| 172=-v+126 | | 7x+16+2x+10=180 | | 90-71= | | 6-4(3x)-4(2)=5 | | f=-2.5+3.5x | | 4-w=290 | | 3x+20+8x-30=180 | | 5xy+15x+7x+21= | | 3-2x=ln(8-3x) | | A=12h(a+b)fora | | y-7/16=-19 | | 1-2(6-x)=3x-2 | | 5y-9=3x+2 | | 3x+9=21+3x | | 24x-6y+4=0 | | e^3-2x=8-3x | | 66=3(x+4)-5(x-2) | | 6-4(3x+2)=5 | | 6x+33=180 | | 9x^2+12x+4=6720 | | -4x+12=28 | | 7x+12-9x=6+4x-3 | | 4v-11=-11 | | 4v=30-v | | 18m+10-8m+44= | | 0.872x+1.056y=188 | | 16(2x-6)=4(8x-2) | | 3xsquare+2x=0 | | 3x+(2x+27)+(2x-11)=180 | | 72+4y=12y | | 0=-16t^2+2704 | | 4x^2+10x-6=p |

Equations solver categories