0=6x^2-2x-7

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


Simplifying
0 = 6x2 + -2x + -7

Reorder the terms:
0 = -7 + -2x + 6x2

Solving
0 = -7 + -2x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + 7 = 7
7 + 2x + -6x2 = -7 + -2x + 6x2 + 7 + 2x + -6x2

Reorder the terms:
7 + 2x + -6x2 = -7 + 7 + -2x + 2x + 6x2 + -6x2

Combine like terms: -7 + 7 = 0
7 + 2x + -6x2 = 0 + -2x + 2x + 6x2 + -6x2
7 + 2x + -6x2 = -2x + 2x + 6x2 + -6x2

Combine like terms: -2x + 2x = 0
7 + 2x + -6x2 = 0 + 6x2 + -6x2
7 + 2x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
7 + 2x + -6x2 = 0

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

Divide each side by '-6'.
-1.166666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '1.166666667' to each side of the equation.
-1.166666667 + -0.3333333333x + 1.166666667 + x2 = 0 + 1.166666667

Reorder the terms:
-1.166666667 + 1.166666667 + -0.3333333333x + x2 = 0 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + 1.166666667
-0.3333333333x + x2 = 0 + 1.166666667

Combine like terms: 0 + 1.166666667 = 1.166666667
-0.3333333333x + x2 = 1.166666667

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = 1.166666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = 1.166666667 + 0.02777777779

Combine like terms: 1.166666667 + 0.02777777779 = 1.19444444479
0.02777777779 + -0.3333333333x + x2 = 1.19444444479

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = 1.19444444479

Calculate the square root of the right side: 1.092906421

Break this problem into two subproblems by setting 
(x + -0.1666666667) equal to 1.092906421 and -1.092906421.

Subproblem 1

x + -0.1666666667 = 1.092906421 Simplifying x + -0.1666666667 = 1.092906421 Reorder the terms: -0.1666666667 + x = 1.092906421 Solving -0.1666666667 + x = 1.092906421 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = 1.092906421 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = 1.092906421 + 0.1666666667 x = 1.092906421 + 0.1666666667 Combine like terms: 1.092906421 + 0.1666666667 = 1.2595730877 x = 1.2595730877 Simplifying x = 1.2595730877

Subproblem 2

x + -0.1666666667 = -1.092906421 Simplifying x + -0.1666666667 = -1.092906421 Reorder the terms: -0.1666666667 + x = -1.092906421 Solving -0.1666666667 + x = -1.092906421 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = -1.092906421 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = -1.092906421 + 0.1666666667 x = -1.092906421 + 0.1666666667 Combine like terms: -1.092906421 + 0.1666666667 = -0.9262397543 x = -0.9262397543 Simplifying x = -0.9262397543

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.2595730877, -0.9262397543}

See similar equations:

| -8=-c/10 | | 180=2x+2x+3x+1 | | 10y-12=58 | | 180=2x+2x+(3x+1) | | -2x+8-5x=16x+8-5x | | 4+3=5x-4 | | 35-5y=55 | | Y-6=0(x+1) | | 9-8u=9-9u | | 3x+5-8x=13-19x+14x-8 | | 10x+40+8x-56=5x+5x | | X^2-12x+131=0 | | N^10=5 | | 5/7=1)/x | | x/9-3/9=7 | | dy=2ydx | | 7x-5(3x-19)=55 | | -3(4x-6)=15 | | (9y+22)(4y+23)=0 | | -10+k=10-k | | -9n-2=7n+50 | | -2m-5m=7 | | 0.02x-4-0.01x-2=6.3 | | 0.7h+1.4+1.6=27 | | .25/12=x/8 | | -4-b=-2b | | 2(x-1)-3(x+2)=5 | | 15b+20b^2=0 | | 0=x^2-2x-9 | | X-(3-2x)=6 | | 13-2x=39 | | .25/12=.16/8 |

Equations solver categories