24=(5+a)(2a+8)

Simple and best practice solution for 24=(5+a)(2a+8) 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 24=(5+a)(2a+8) equation: 


Simplifying
24 = (5 + a)(2a + 8)

Reorder the terms:
24 = (5 + a)(8 + 2a)

Multiply (5 + a) * (8 + 2a)
24 = (5(8 + 2a) + a(8 + 2a))
24 = ((8 * 5 + 2a * 5) + a(8 + 2a))
24 = ((40 + 10a) + a(8 + 2a))
24 = (40 + 10a + (8 * a + 2a * a))
24 = (40 + 10a + (8a + 2a2))

Combine like terms: 10a + 8a = 18a
24 = (40 + 18a + 2a2)

Solving
24 = 40 + 18a + 2a2

Solving for variable 'a'.

Combine like terms: 24 + -40 = -16
-16 + -18a + -2a2 = 40 + 18a + 2a2 + -40 + -18a + -2a2

Reorder the terms:
-16 + -18a + -2a2 = 40 + -40 + 18a + -18a + 2a2 + -2a2

Combine like terms: 40 + -40 = 0
-16 + -18a + -2a2 = 0 + 18a + -18a + 2a2 + -2a2
-16 + -18a + -2a2 = 18a + -18a + 2a2 + -2a2

Combine like terms: 18a + -18a = 0
-16 + -18a + -2a2 = 0 + 2a2 + -2a2
-16 + -18a + -2a2 = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
-16 + -18a + -2a2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(8 + 9a + a2) = 0

Factor a trinomial.
-2((8 + a)(1 + a)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(8 + a)' equal to zero and attempt to solve:

Simplifying
8 + a = 0

Solving
8 + a = 0

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

Add '-8' to each side of the equation.
8 + -8 + a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + a = 0 + -8
a = 0 + -8

Combine like terms: 0 + -8 = -8
a = -8

Simplifying
a = -8

Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve:

Simplifying
1 + a = 0

Solving
1 + a = 0

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

Add '-1' to each side of the equation.
1 + -1 + a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a = 0 + -1
a = 0 + -1

Combine like terms: 0 + -1 = -1
a = -1

Simplifying
a = -1
Solution
a = {-8, -1}

See similar equations:

| 8=-2m | | 2x^2=-3x+14 | | 2(7x-3)(5-x)=0 | | 20028.35=-2129.75x+21028.35 | | 3x-10+5x+20=120 | | 20.00+5.50=9.00+6.75 | | .75x-33=7x-24 | | 2/4-3/12 | | x^2-6x+63= | | X^2+26x+13= | | 20.00+5.50x=9.00+6.75x | | 1.10-1.00=2x | | sin(7x+2)=cos(5x+4) | | 3(x+2)+x+1=57 | | 1.00+(1.10-x)=1.10 | | 7x-28+6x=58-x-2 | | -7.9=(y/3)-3.1 | | cos^3x-cos^2x=0 | | 5x+6=2x+15+15 | | 16x=-15 | | 3x-10+5x+20=180 | | 30h/h^2 | | 4+4=3h+16 | | .3(2z+6)+12.6=06(2z-6) | | 9-3j=3 | | -3/11c=0 | | 1/2x-1/4=-3/4 | | 2(x+3)+3(x+2)=42 | | 5sin(x)+3cos(x)=0 | | 7y-2=112 | | -3(x+5)+10x=27 | | 672=16+6+w |

Equations solver categories