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

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


Simplifying
(5a + -2)(a + 8) = 0

Reorder the terms:
(-2 + 5a)(a + 8) = 0

Reorder the terms:
(-2 + 5a)(8 + a) = 0

Multiply (-2 + 5a) * (8 + a)
(-2(8 + a) + 5a * (8 + a)) = 0
((8 * -2 + a * -2) + 5a * (8 + a)) = 0
((-16 + -2a) + 5a * (8 + a)) = 0
(-16 + -2a + (8 * 5a + a * 5a)) = 0
(-16 + -2a + (40a + 5a2)) = 0

Combine like terms: -2a + 40a = 38a
(-16 + 38a + 5a2) = 0

Solving
-16 + 38a + 5a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-8 + -1a)(2 + -5a) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(2 + -5a)' equal to zero and attempt to solve:

Simplifying
2 + -5a = 0

Solving
2 + -5a = 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 + -5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a = 0 + -2
-5a = 0 + -2

Combine like terms: 0 + -2 = -2
-5a = -2

Divide each side by '-5'.
a = 0.4

Simplifying
a = 0.4
Solution
a = {-8, 0.4}

See similar equations:

| 6-1=12p-1 | | 12=-8x+5(x-3) | | (g-3/5)/(5g-15/2g) | | 20+2=60-x | | 26=2*8+2w | | 2x^3+17x^2-9x=0 | | 3x^2-6x-105= | | -5+5w=-25 | | 15+X=2X^2 | | -4/7k-a=1 | | 4x+6=3x-10 | | (4x+7)2=195 | | 2.3x^2+36t=0 | | 7/(5x-2)=5/4x | | -20+3x=4x+5 | | 2a+5=18 | | x-1=5/3(y-5) | | -6+3=60 | | x-0.8=3.25 | | -20+4x=50 | | 8^0/d^-9 | | 4(x-2)+5=6x-4 | | 90-x=25 | | -19+6= | | x^4+x^3-4x^2-16x-24=y | | -2+3x=6 | | 5r^2+9r-2= | | -5x+60=-20 | | 16=4+3(y+z) | | 3c-7c=12 | | x^2+8x+168=0 | | x÷2/9=6 |

Equations solver categories