(3a+5)(2a-8)=

Simple and best practice solution for (3a+5)(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 (3a+5)(2a-8)= equation: 


Simplifying
(3a + 5)(2a + -8) = 0

Reorder the terms:
(5 + 3a)(2a + -8) = 0

Reorder the terms:
(5 + 3a)(-8 + 2a) = 0

Multiply (5 + 3a) * (-8 + 2a)
(5(-8 + 2a) + 3a * (-8 + 2a)) = 0
((-8 * 5 + 2a * 5) + 3a * (-8 + 2a)) = 0
((-40 + 10a) + 3a * (-8 + 2a)) = 0
(-40 + 10a + (-8 * 3a + 2a * 3a)) = 0
(-40 + 10a + (-24a + 6a2)) = 0

Combine like terms: 10a + -24a = -14a
(-40 + -14a + 6a2) = 0

Solving
-40 + -14a + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -7a + 3a2) = 0

Factor a trinomial.
2((-5 + -3a)(4 + -1a)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -3a)' equal to zero and attempt to solve:

Simplifying
-5 + -3a = 0

Solving
-5 + -3a = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3a = 0 + 5
-3a = 0 + 5

Combine like terms: 0 + 5 = 5
-3a = 5

Divide each side by '-3'.
a = -1.666666667

Simplifying
a = -1.666666667

Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 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 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {-1.666666667, 4}

See similar equations:

| 1080=3x+143+152+116+125+140+139 | | 4+13*x=2 | | 4x^2+11x-72=0 | | -56=5+3(2+5z) | | 180=x+(x*9) | | -9w-3=-4(w-8) | | 4x^2+11-72=0 | | -0.875x+.5=.375 | | 22+3(2x+7)=25 | | (x+2)(3x+5)= | | 6x(z+11)+(z+11)= | | 7i(8-12i)= | | n^2-3=59*2 | | F(x)=20000(.85) | | fory=5x+7 | | 12-3x=-7x-8 | | n^2-3=106 | | x^2+2=8x+8 | | (7n+2)(2n-3)= | | (k+3)x^2+kx+1=0 | | 4m-6=5m | | 3x^2-36x=-60 | | 6+6(2x-1)=3+12t | | (20a-1)(a-2)= | | (5u+4)(1-u)=0 | | 4y-5(2y-3)=2-2(5-y) | | x^2-10x=-5 | | 5x-3(x-5)=5 | | 3(w-9)=9w+12 | | 3(p-3)=-4 | | 5m^2+28m+13=3m-7 | | -5(2y-4)-y=-2(y-4) |

Equations solver categories