l^2-80l+300=0

Simple and best practice solution for l^2-80l+300=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 l^2-80l+300=0 equation: 


Simplifying
l2 + -80l + 300 = 0

Reorder the terms:
300 + -80l + l2 = 0

Solving
300 + -80l + l2 = 0

Solving for variable 'l'.

Begin completing the square.

Move the constant term to the right:

Add '-300' to each side of the equation.
300 + -80l + -300 + l2 = 0 + -300

Reorder the terms:
300 + -300 + -80l + l2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -80l + l2 = 0 + -300
-80l + l2 = 0 + -300

Combine like terms: 0 + -300 = -300
-80l + l2 = -300

The l term is -80l.  Take half its coefficient (-40).
Square it (1600) and add it to both sides.

Add '1600' to each side of the equation.
-80l + 1600 + l2 = -300 + 1600

Reorder the terms:
1600 + -80l + l2 = -300 + 1600

Combine like terms: -300 + 1600 = 1300
1600 + -80l + l2 = 1300

Factor a perfect square on the left side:
(l + -40)(l + -40) = 1300

Calculate the square root of the right side: 36.055512755

Break this problem into two subproblems by setting 
(l + -40) equal to 36.055512755 and -36.055512755.


Subproblem 1
l + -40 = 36.055512755

Simplifying
l + -40 = 36.055512755

Reorder the terms:
-40 + l = 36.055512755

Solving
-40 + l = 36.055512755

Solving for variable 'l'.

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

Add '40' to each side of the equation.
-40 + 40 + l = 36.055512755 + 40

Combine like terms: -40 + 40 = 0
0 + l = 36.055512755 + 40
l = 36.055512755 + 40

Combine like terms: 36.055512755 + 40 = 76.055512755
l = 76.055512755

Simplifying
l = 76.055512755


Subproblem 2
l + -40 = -36.055512755

Simplifying
l + -40 = -36.055512755

Reorder the terms:
-40 + l = -36.055512755

Solving
-40 + l = -36.055512755

Solving for variable 'l'.

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

Add '40' to each side of the equation.
-40 + 40 + l = -36.055512755 + 40

Combine like terms: -40 + 40 = 0
0 + l = -36.055512755 + 40
l = -36.055512755 + 40

Combine like terms: -36.055512755 + 40 = 3.944487245
l = 3.944487245

Simplifying
l = 3.944487245


Solution
The solution to the problem is based on the solutions
from the subproblems.
l = {76.055512755, 3.944487245}

See similar equations:

| 180/360xpix5^2 | | r=15+75 | | 6(3x-1)=30 | | f(x)=5x^4+2x^3 | | 116=17+6x | | 17/36-1/6 | | 8sin^2x+2cosx-5=0 | | 2x*x=120 | | 3x^2-10x+6=4x+17 | | 7sinx+2=2sinx | | -4t+-8=8 | | z^3+6z^2+9z=900 | | -x^2+130x-3000=0 | | 185=180 | | 10s-80=-112 | | 5x(x+2)=3x-2 | | -18x-9y=-18 | | 14-x-3x^2=0 | | x^2=1210 | | Y-8=2/9(x-3) | | 3.4/12.92= | | 2x^2-12.5=0 | | .30(x)+x=156 | | 2=n^3 | | 2=n | | (x-y-1)(x-y+1)+(-x+y+1)(x+y-1)+(x-y-1)(x+y+1)= | | iz^2-(2+i)z+1=0 | | .30x=156 | | -3x-4(x-6)=12 | | (1)/(5)(10w-15)=(1)/(4)(12w-8) | | 6(x-2)/8 | | 7(2n+4)=6(9n+7)+6 |

Equations solver categories