(2a+20)(2a+8)=864

Simple and best practice solution for (2a+20)(2a+8)=864 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 (2a+20)(2a+8)=864 equation: 


Simplifying
(2a + 20)(2a + 8) = 864

Reorder the terms:
(20 + 2a)(2a + 8) = 864

Reorder the terms:
(20 + 2a)(8 + 2a) = 864

Multiply (20 + 2a) * (8 + 2a)
(20(8 + 2a) + 2a * (8 + 2a)) = 864
((8 * 20 + 2a * 20) + 2a * (8 + 2a)) = 864
((160 + 40a) + 2a * (8 + 2a)) = 864
(160 + 40a + (8 * 2a + 2a * 2a)) = 864
(160 + 40a + (16a + 4a2)) = 864

Combine like terms: 40a + 16a = 56a
(160 + 56a + 4a2) = 864

Solving
160 + 56a + 4a2 = 864

Solving for variable 'a'.

Reorder the terms:
160 + -864 + 56a + 4a2 = 864 + -864

Combine like terms: 160 + -864 = -704
-704 + 56a + 4a2 = 864 + -864

Combine like terms: 864 + -864 = 0
-704 + 56a + 4a2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-176 + 14a + a2) = 0

Factor a trinomial.
4((-22 + -1a)(8 + -1a)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-22 + -1a)' equal to zero and attempt to solve:

Simplifying
-22 + -1a = 0

Solving
-22 + -1a = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1a = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1a = 0 + 22
-1a = 0 + 22

Combine like terms: 0 + 22 = 22
-1a = 22

Divide each side by '-1'.
a = -22

Simplifying
a = -22

Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 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 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {-22, 8}

See similar equations:

| 9=p+11 | | 5x-2=12x-72 | | x=3+2x | | 1.167x=-28 | | n+3=20 | | 10-5n=50+2n | | 6t^2+23t+20=0 | | 8x-12=44 | | 3*d+4.5*d=15 | | 1.1667x=-28 | | 2y^2-9y+10=0 | | 1.4(2y-3)-3=-12.8+2.8y+5.6 | | (x+y)(x^2-xy+y^2)= | | 9x-6=7x-4 | | n-5=-6 | | 0.6=0.3+f | | 2(8+h)=22 | | 3(m+8)=6 | | 2s^2+7s-15=0 | | 6-9x=36-16x | | 5x-12=18+2x | | 16y-6=32x+48 | | (3u+5)(4+u)=0 | | 8f+14=12f+2 | | 8(x-2)=x+19 | | -9=n+5 | | 3a^2-36+81=0 | | 134-6x=21x+20 | | 6(2m+4)=8m+4 | | 10-10x=112-31x | | 5x-120=35x+60 | | 45000=9/11 |

Equations solver categories