12+12L-1.5L^2=0

Simple and best practice solution for 12+12L-1.5L^2=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 12+12L-1.5L^2=0 equation: 


Simplifying
12 + 12L + -1.5L2 = 0

Solving
12 + 12L + -1.5L2 = 0

Solving for variable 'L'.

Begin completing the square.  Divide all terms by
-1.5 the coefficient of the squared term: 

Divide each side by '-1.5'.
-8 + -8L + L2 = 0

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -8L + 8 + L2 = 0 + 8

Reorder the terms:
-8 + 8 + -8L + L2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -8L + L2 = 0 + 8
-8L + L2 = 0 + 8

Combine like terms: 0 + 8 = 8
-8L + L2 = 8

The L term is -8L.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8L + 16 + L2 = 8 + 16

Reorder the terms:
16 + -8L + L2 = 8 + 16

Combine like terms: 8 + 16 = 24
16 + -8L + L2 = 24

Factor a perfect square on the left side:
(L + -4)(L + -4) = 24

Calculate the square root of the right side: 4.898979486

Break this problem into two subproblems by setting 
(L + -4) equal to 4.898979486 and -4.898979486.


Subproblem 1
L + -4 = 4.898979486

Simplifying
L + -4 = 4.898979486

Reorder the terms:
-4 + L = 4.898979486

Solving
-4 + L = 4.898979486

Solving for variable 'L'.

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

Add '4' to each side of the equation.
-4 + 4 + L = 4.898979486 + 4

Combine like terms: -4 + 4 = 0
0 + L = 4.898979486 + 4
L = 4.898979486 + 4

Combine like terms: 4.898979486 + 4 = 8.898979486
L = 8.898979486

Simplifying
L = 8.898979486


Subproblem 2
L + -4 = -4.898979486

Simplifying
L + -4 = -4.898979486

Reorder the terms:
-4 + L = -4.898979486

Solving
-4 + L = -4.898979486

Solving for variable 'L'.

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

Add '4' to each side of the equation.
-4 + 4 + L = -4.898979486 + 4

Combine like terms: -4 + 4 = 0
0 + L = -4.898979486 + 4
L = -4.898979486 + 4

Combine like terms: -4.898979486 + 4 = -0.898979486
L = -0.898979486

Simplifying
L = -0.898979486


Solution
The solution to the problem is based on the solutions
from the subproblems.
L = {8.898979486, -0.898979486}

See similar equations:

| (1/8)^(2/3) | | 9*-8+2y=-72 | | 3n+2.5=3.5 | | 168+c=100 | | 9*4+2y=-72 | | x^2+8x=513 | | 336+4c=268 | | 4-(50-7.5)= | | 6y^2-7y+16-12y^2-7y-6= | | 2*168=p | | z^2-z+iz+i=0 | | 4*1.6-2.6=9 | | 1.3*1.6+3.7*1.6=8 | | g(5a)= | | 4v=8/7 | | 2x+0.75=5 | | (5x+2)(3x^2-4x+1)=0 | | -5x+(x+1)=13 | | 0.14+0.3=0.85 | | p+78=115 | | 5w^7x^8*3xv^6*5w^7v^8= | | 13*6=g | | 3m-2m=15 | | 0.2496/0.12 | | 76(y-72)=y-65 | | 3x+4=0.6 | | 3/7=n/24 | | 11^7/11^4 | | 5p-2=0.75 | | 3p+2=1.25 | | 4y=-2x+32 | | z-1.6=4 |

Equations solver categories