12x^2+12x-26=0

Simple and best practice solution for 12x^2+12x-26=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 12x^2+12x-26=0 equation: 


Simplifying
12x2 + 12x + -26 = 0

Reorder the terms:
-26 + 12x + 12x2 = 0

Solving
-26 + 12x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 6x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-13 + 6x + 6x2)' equal to zero and attempt to solve:

Simplifying
-13 + 6x + 6x2 = 0

Solving
-13 + 6x + 6x2 = 0

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

Divide each side by '6'.
-2.166666667 + x + x2 = 0

Move the constant term to the right:

Add '2.166666667' to each side of the equation.
-2.166666667 + x + 2.166666667 + x2 = 0 + 2.166666667

Reorder the terms:
-2.166666667 + 2.166666667 + x + x2 = 0 + 2.166666667

Combine like terms: -2.166666667 + 2.166666667 = 0.000000000
0.000000000 + x + x2 = 0 + 2.166666667
x + x2 = 0 + 2.166666667

Combine like terms: 0 + 2.166666667 = 2.166666667
x + x2 = 2.166666667

The x term is x.  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.
 + 0.25 + x2 = 2.166666667 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = 2.166666667 + 0.25

Combine like terms: 2.166666667 + 0.25 = 2.416666667
1.25 + x2 = 2.416666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 2.416666667

Calculate the square root of the right side: 1.554563176

Break this problem into two subproblems by setting 
(x + 0.5) equal to 1.554563176 and -1.554563176.


Subproblem 1
x + 0.5 = 1.554563176

Simplifying
x + 0.5 = 1.554563176

Reorder the terms:
0.5 + x = 1.554563176

Solving
0.5 + x = 1.554563176

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 = 1.554563176 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 1.554563176 + -0.5
x = 1.554563176 + -0.5

Combine like terms: 1.554563176 + -0.5 = 1.054563176
x = 1.054563176

Simplifying
x = 1.054563176


Subproblem 2
x + 0.5 = -1.554563176

Simplifying
x + 0.5 = -1.554563176

Reorder the terms:
0.5 + x = -1.554563176

Solving
0.5 + x = -1.554563176

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 = -1.554563176 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -1.554563176 + -0.5
x = -1.554563176 + -0.5

Combine like terms: -1.554563176 + -0.5 = -2.054563176
x = -2.054563176

Simplifying
x = -2.054563176


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.054563176, -2.054563176}
Solution
x = {1.054563176, -2.054563176}

See similar equations:

| c=54d-1/3b | | -2y=3-4x | | 5y=2x-9 | | 6x-12=4x+16 | | 10x+14y=5412 | | -y=1-6x | | 3(4c-1)-5=7c+7 | | 16r-8=14r+42 | | 6r=2r+6 | | y=90+0.8y | | 2y=6-3x | | x+19+3x=-33-3x-99 | | 20-47=5(x-1)-7 | | 3x(j-6)=176 | | f(-8)=7x+7 | | y=-4-5x | | -5y=15-6x | | 2y=12x+5 | | x-(6x-7)=2x-(5x+9) | | -3y+7x=23 | | -y=3-x | | .5*4x^2+4x+5=0 | | 9d+5d= | | -10y=9-11x | | 2x+6+1/2x+5+3x+4=180 | | 11x-10y=9 | | 15x^2-74x-9=0 | | 2y=9x-6 | | 6(8y+4)=-31+7y | | x=-0.4x^2+80x-1600 | | 3x^2-2x^3=.95 | | 2x-8+6x=8x+0-4x |

Equations solver categories