6x^2-6x-3=-1

Simple and best practice solution for 6x^2-6x-3=-1 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^2-6x-3=-1 equation: 


Simplifying
6x2 + -6x + -3 = -1

Reorder the terms:
-3 + -6x + 6x2 = -1

Solving
-3 + -6x + 6x2 = -1

Solving for variable 'x'.

Reorder the terms:
-3 + 1 + -6x + 6x2 = -1 + 1

Combine like terms: -3 + 1 = -2
-2 + -6x + 6x2 = -1 + 1

Combine like terms: -1 + 1 = 0
-2 + -6x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -3x + 3x2) = 0

Ignore the factor 2.

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

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

Solving
-1 + -3x + 3x2 = 0

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

Divide each side by '3'.
-0.3333333333 + -1x + x2 = 0

Move the constant term to the right:

Add '0.3333333333' to each side of the equation.
-0.3333333333 + -1x + 0.3333333333 + x2 = 0 + 0.3333333333

Reorder the terms:
-0.3333333333 + 0.3333333333 + -1x + x2 = 0 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.0000000000 + -1x + x2 = 0 + 0.3333333333
-1x + x2 = 0 + 0.3333333333

Combine like terms: 0 + 0.3333333333 = 0.3333333333
-1x + x2 = 0.3333333333

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 0.3333333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 0.3333333333 + 0.25

Combine like terms: 0.3333333333 + 0.25 = 0.5833333333
0.25 + -1x + x2 = 0.5833333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 0.5833333333

Calculate the square root of the right side: 0.763762616

Break this problem into two subproblems by setting 
(x + -0.5) equal to 0.763762616 and -0.763762616.


Subproblem 1
x + -0.5 = 0.763762616

Simplifying
x + -0.5 = 0.763762616

Reorder the terms:
-0.5 + x = 0.763762616

Solving
-0.5 + x = 0.763762616

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 0.763762616 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 0.763762616 + 0.5
x = 0.763762616 + 0.5

Combine like terms: 0.763762616 + 0.5 = 1.263762616
x = 1.263762616

Simplifying
x = 1.263762616


Subproblem 2
x + -0.5 = -0.763762616

Simplifying
x + -0.5 = -0.763762616

Reorder the terms:
-0.5 + x = -0.763762616

Solving
-0.5 + x = -0.763762616

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -0.763762616 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -0.763762616 + 0.5
x = -0.763762616 + 0.5

Combine like terms: -0.763762616 + 0.5 = -0.263762616
x = -0.263762616

Simplifying
x = -0.263762616


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.263762616, -0.263762616}
Solution
x = {1.263762616, -0.263762616}

See similar equations:

| (5x+9)=89 | | -7/2(y-6)-1/4y= | | f(x)=x(x-11) | | 2(w+6)-4w= | | 3(6x+1)=8(5x-10) | | 3^x=1/9 | | -92+42= | | 6x^2-4x-2=-1 | | 9x-9=2+2(x+2) | | (2/x-5)-5(x-5) | | sin24=7/x | | cosx+2cos^2x=0 | | Y=12(1.05)y | | 100[0.06(q+10)]= | | 50x+80(10)=60(x+10) | | 5.7x-5=4.7x | | 14x^2=21 | | x+2(x+1)+x^2= | | 28x^2=15x | | 8+4y=9-2x+6 | | 15x-8=3x+2-(x+5) | | 3cos^2x+sinx=1 | | -3000(ln/.20) | | 13*y/13 | | 4v-11=10+2(v+9) | | 5d+4-2=-11 | | 3x+15=25+x^2 | | X=2y^4-5 | | 5x^2+3(x^2-1)= | | t-9.2=-.68 | | Ix-5I=0 | | X/4-3=24 |

Equations solver categories