6a-2a(a-3)=28

Simple and best practice solution for 6a-2a(a-3)=28 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 6a-2a(a-3)=28 equation: 


Simplifying
6a + -2a(a + -3) = 28

Reorder the terms:
6a + -2a(-3 + a) = 28
6a + (-3 * -2a + a * -2a) = 28
6a + (6a + -2a2) = 28

Combine like terms: 6a + 6a = 12a
12a + -2a2 = 28

Solving
12a + -2a2 = 28

Solving for variable 'a'.

Reorder the terms:
-28 + 12a + -2a2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 12a + -2a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 6a + -1a2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-14 + 6a + -1a2)' equal to zero and attempt to solve:

Simplifying
-14 + 6a + -1a2 = 0

Solving
-14 + 6a + -1a2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
14 + -6a + a2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -6a + -14 + a2 = 0 + -14

Reorder the terms:
14 + -14 + -6a + a2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -6a + a2 = 0 + -14
-6a + a2 = 0 + -14

Combine like terms: 0 + -14 = -14
-6a + a2 = -14

The a term is -6a.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6a + 9 + a2 = -14 + 9

Reorder the terms:
9 + -6a + a2 = -14 + 9

Combine like terms: -14 + 9 = -5
9 + -6a + a2 = -5

Factor a perfect square on the left side:
(a + -3)(a + -3) = -5

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:

| 3a-2(b+2)=11 | | -40+8x=2(7x-2) | | 3a-2(b+2)=26 | | -3x-35=x+1 | | 3a-2(b+2)=19 | | -1+2(5n-3)=-11+8n | | 7-2(3a-5)= | | -3x+17=x+1 | | 4x-4=4(2x-7)-8 | | 4x-21=x+3 | | 120=2L+2W | | -3x-5y=-20 | | -17=b-20 | | 4x+46=x+22 | | (6b-4a)+(4b-8a)= | | 30=11+x | | -3=16+n | | -6x-y=9 | | z^3-4z^2+6z-4=0 | | x-8y=23 | | 11y+11y=65 | | -18=-9+r | | 80=.5*9.8t^2 | | y-6=11 | | 9n=90 | | 4*x^2+9=0 | | 0=20-9.8t | | s-9=17+25 | | 8h-21=35 | | 2a+4a+3b= | | x+2=-2x-5 | | x^2+(9x)(9-x)=45 |

Equations solver categories