3x^2-48x+80=0

Simple and best practice solution for 3x^2-48x+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 3x^2-48x+80=0 equation: 


Simplifying
3x2 + -48x + 80 = 0

Reorder the terms:
80 + -48x + 3x2 = 0

Solving
80 + -48x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
26.66666667 + -16x + x2 = 0

Move the constant term to the right:

Add '-26.66666667' to each side of the equation.
26.66666667 + -16x + -26.66666667 + x2 = 0 + -26.66666667

Reorder the terms:
26.66666667 + -26.66666667 + -16x + x2 = 0 + -26.66666667

Combine like terms: 26.66666667 + -26.66666667 = 0.00000000
0.00000000 + -16x + x2 = 0 + -26.66666667
-16x + x2 = 0 + -26.66666667

Combine like terms: 0 + -26.66666667 = -26.66666667
-16x + x2 = -26.66666667

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -26.66666667 + 64

Reorder the terms:
64 + -16x + x2 = -26.66666667 + 64

Combine like terms: -26.66666667 + 64 = 37.33333333
64 + -16x + x2 = 37.33333333

Factor a perfect square on the left side:
(x + -8)(x + -8) = 37.33333333

Calculate the square root of the right side: 6.110100926

Break this problem into two subproblems by setting 
(x + -8) equal to 6.110100926 and -6.110100926.


Subproblem 1
x + -8 = 6.110100926

Simplifying
x + -8 = 6.110100926

Reorder the terms:
-8 + x = 6.110100926

Solving
-8 + x = 6.110100926

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = 6.110100926 + 8

Combine like terms: -8 + 8 = 0
0 + x = 6.110100926 + 8
x = 6.110100926 + 8

Combine like terms: 6.110100926 + 8 = 14.110100926
x = 14.110100926

Simplifying
x = 14.110100926


Subproblem 2
x + -8 = -6.110100926

Simplifying
x + -8 = -6.110100926

Reorder the terms:
-8 + x = -6.110100926

Solving
-8 + x = -6.110100926

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = -6.110100926 + 8

Combine like terms: -8 + 8 = 0
0 + x = -6.110100926 + 8
x = -6.110100926 + 8

Combine like terms: -6.110100926 + 8 = 1.889899074
x = 1.889899074

Simplifying
x = 1.889899074


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {14.110100926, 1.889899074}

See similar equations:

| x-60=61 | | (6x+13)=(10x-7) | | 18.75x+1250=1500 | | 12d=217 | | 3x^2-48x+160=0 | | 12d=21 | | 12d=2178 | | (-9y^2-9y)+(8y^2+2y-7)=0 | | 9/10-5/7 | | x+(x-25)+(x+10)=90 | | 4/7=4x/21 | | 3r-6=-12 | | 9x-18y=90solvey | | n*n-64=0 | | x+103+x+83=180 | | 1/x=4/48 | | 3(4x+5)=16x+12-4x+3 | | 31-4r=27 | | 5w=71 | | 3x=15x-1 | | 3x=20.5+1.5x | | (n/4)=2 | | (3x+5)(8x^2+9x+6)= | | 5=71 | | 60+7a=5s+120 | | 5z=93 | | 56=8(h-86) | | cos29=112/x | | 8x-12y=-96 | | -27+a=110 | | 17=1/3(9x-3) | | tan(x)=86forx |

Equations solver categories