12x^2+12x-80=0

Simple and best practice solution for 12x^2+12x-80=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-80=0 equation: 


Simplifying
12x2 + 12x + -80 = 0

Reorder the terms:
-80 + 12x + 12x2 = 0

Solving
-80 + 12x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + 3x + 3x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-20 + 3x + 3x2)' equal to zero and attempt to solve:

Simplifying
-20 + 3x + 3x2 = 0

Solving
-20 + 3x + 3x2 = 0

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

Divide each side by '3'.
-6.666666667 + x + x2 = 0

Move the constant term to the right:

Add '6.666666667' to each side of the equation.
-6.666666667 + x + 6.666666667 + x2 = 0 + 6.666666667

Reorder the terms:
-6.666666667 + 6.666666667 + x + x2 = 0 + 6.666666667

Combine like terms: -6.666666667 + 6.666666667 = 0.000000000
0.000000000 + x + x2 = 0 + 6.666666667
x + x2 = 0 + 6.666666667

Combine like terms: 0 + 6.666666667 = 6.666666667
x + x2 = 6.666666667

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 = 6.666666667 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = 6.666666667 + 0.25

Combine like terms: 6.666666667 + 0.25 = 6.916666667
1.25 + x2 = 6.916666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 6.916666667

Calculate the square root of the right side: 2.62995564

Break this problem into two subproblems by setting 
(x + 0.5) equal to 2.62995564 and -2.62995564.


Subproblem 1
x + 0.5 = 2.62995564

Simplifying
x + 0.5 = 2.62995564

Reorder the terms:
0.5 + x = 2.62995564

Solving
0.5 + x = 2.62995564

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 = 2.62995564 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 2.62995564 + -0.5
x = 2.62995564 + -0.5

Combine like terms: 2.62995564 + -0.5 = 2.12995564
x = 2.12995564

Simplifying
x = 2.12995564


Subproblem 2
x + 0.5 = -2.62995564

Simplifying
x + 0.5 = -2.62995564

Reorder the terms:
0.5 + x = -2.62995564

Solving
0.5 + x = -2.62995564

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 = -2.62995564 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -2.62995564 + -0.5
x = -2.62995564 + -0.5

Combine like terms: -2.62995564 + -0.5 = -3.12995564
x = -3.12995564

Simplifying
x = -3.12995564


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.12995564, -3.12995564}
Solution
x = {2.12995564, -3.12995564}

See similar equations:

| 8x-8+x=4+5x | | 4w-4=3 | | 73=181x | | 7y-(10-y)=3(y-1)+4y-2.5 | | 6y^2-y=3y-5 | | 2=4.03+7x | | 4w+12w-10= | | 2x^2-7x+6=x^2 | | 2(2n+2)=-2 | | 4m-3=13 | | 2x+9=x+92 | | -3x+2=8 | | -10+35= | | 31=4x-5 | | 8x-4+3x=7x+x+14 | | 4(x+2)=2(x+6) | | 4x+6-3x=-15 | | 4(x+6)=-2(x-18) | | 3(4-3x)=30 | | 6z+10=5z+1 | | 2x+10=80 | | 6(x-2)=-3x+51 | | 4k-24-3k-2=-5 | | -4.2=z-1.9 | | 8x^3+64x^2+120x=0 | | 5x-1=6+3x | | 5(x-3)=3x-1 | | -2=29+f | | 2m+8=16 | | 12-2x=7x-42 | | 11x+4=5x+10 | | 12x^2+23x-6=-16 |

Equations solver categories