28-4a=6(a^2-2)+24

Simple and best practice solution for 28-4a=6(a^2-2)+24 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 28-4a=6(a^2-2)+24 equation: 


Simplifying
28 + -4a = 6(a2 + -2) + 24

Reorder the terms:
28 + -4a = 6(-2 + a2) + 24
28 + -4a = (-2 * 6 + a2 * 6) + 24
28 + -4a = (-12 + 6a2) + 24

Reorder the terms:
28 + -4a = -12 + 24 + 6a2

Combine like terms: -12 + 24 = 12
28 + -4a = 12 + 6a2

Solving
28 + -4a = 12 + 6a2

Solving for variable 'a'.

Reorder the terms:
28 + -12 + -4a + -6a2 = 12 + 6a2 + -12 + -6a2

Combine like terms: 28 + -12 = 16
16 + -4a + -6a2 = 12 + 6a2 + -12 + -6a2

Reorder the terms:
16 + -4a + -6a2 = 12 + -12 + 6a2 + -6a2

Combine like terms: 12 + -12 = 0
16 + -4a + -6a2 = 0 + 6a2 + -6a2
16 + -4a + -6a2 = 6a2 + -6a2

Combine like terms: 6a2 + -6a2 = 0
16 + -4a + -6a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -2a + -3a2) = 0

Factor a trinomial.
2((4 + -3a)(2 + a)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -3a = 0

Solving
4 + -3a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4

Combine like terms: 0 + -4 = -4
-3a = -4

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333

Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

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

Add '-2' to each side of the equation.
2 + -2 + a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a = 0 + -2
a = 0 + -2

Combine like terms: 0 + -2 = -2
a = -2

Simplifying
a = -2
Solution
a = {1.333333333, -2}

See similar equations:

| 4x=2(-6+2x)+12 | | -2p-5(5-2p)=6(p-5)-7 | | -4(5y+-10)=100 | | 5(x-4)+13(x+10)= | | A=2x+6yz | | 4x-10+3x+20=180 | | -5(v+2)+3v+5=8v+8 | | 7(a-4)-a^2=19+3(a+3) | | 5nt=-34 | | 3i/7-5i | | 464/131=x/162 | | 12w+16w-6+5=-5w+5-6 | | 0=r^2-800.89 | | (18-x^2)^(-1/2)-(x^2)/((18-x^2)^(-1/2))=0 | | 4(2x+3)=33 | | 132+(5x+12)=180 | | 117+(5x+12)=180 | | -3(x+10)=-3 | | 56n+7=84n | | x^2-3x=9-x^2 | | -3(10x)=-3 | | 2(y-1)+y+8=180 | | TanW=19.0811 | | 32=9x-4 | | 2(2x-1)-4(x+1)=2x+2 | | 6-5w-7= | | 76+(6x+10)=180 | | 7x+2=9-(6x-2) | | 2.50+7.50=12.50 | | 6x+24=4(x+6) | | 14+2a=3a-14+2a | | 6w-7w+7= |

Equations solver categories