12a^2-48a+56=0

Simple and best practice solution for 12a^2-48a+56=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 12a^2-48a+56=0 equation: 


Simplifying
12a2 + -48a + 56 = 0

Reorder the terms:
56 + -48a + 12a2 = 0

Solving
56 + -48a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(14 + -12a + 3a2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(14 + -12a + 3a2)' equal to zero and attempt to solve:

Simplifying
14 + -12a + 3a2 = 0

Solving
14 + -12a + 3a2 = 0

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

Divide each side by '3'.
4.666666667 + -4a + a2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -4a + -4.666666667 + a2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -4a + a2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -4a + a2 = 0 + -4.666666667
-4a + a2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-4a + a2 = -4.666666667

The a term is -4a.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4a + 4 + a2 = -4.666666667 + 4

Reorder the terms:
4 + -4a + a2 = -4.666666667 + 4

Combine like terms: -4.666666667 + 4 = -0.666666667
4 + -4a + a2 = -0.666666667

Factor a perfect square on the left side:
(a + -2)(a + -2) = -0.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 43x+250y=77 | | 3x(x+2)-4x= | | 5/d=-7 | | x^3+4x^2-12=y | | 24z=8 | | x+2x+(2x-5)=80 | | x+2x+(2x-5)=8 | | 15(2x+3)=5x-30 | | 6/5+5x/x+3=5 | | 9h=-26 | | 75x-39y=1 | | 115-5x=40x+15 | | 9-10x=40x+15 | | x^2+7x-2x=14 | | y/2+y/4=5/3 | | 2x+90=0 | | a=b/5-9 | | X/(X+6400)=5/1000 | | c^2d^2-8c^3d=0 | | 40-7x=60-5x | | 3(x+3)+6=27 | | (5x+4)/(2x)=8 | | y=lx+-3l+1 | | y=lx+-3l+-7 | | 115.00=x+0.33x | | x+5/100*x=100 | | 5-2x-3x^2=0 | | x^2-2x-488=0 | | 10x^2-15xy= | | (2x+200)(2x+300)=81600 | | 4x^2+1000x=81000 | | 147=7f |

Equations solver categories