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

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Solution for (3a-8)(-2a+3)= equation: 


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

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

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

Multiply (-8 + 3a) * (3 + -2a)
(-8(3 + -2a) + 3a * (3 + -2a)) = 0
((3 * -8 + -2a * -8) + 3a * (3 + -2a)) = 0
((-24 + 16a) + 3a * (3 + -2a)) = 0
(-24 + 16a + (3 * 3a + -2a * 3a)) = 0
(-24 + 16a + (9a + -6a2)) = 0

Combine like terms: 16a + 9a = 25a
(-24 + 25a + -6a2) = 0

Solving
-24 + 25a + -6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-8 + 3a)(3 + -2a) = 0


Subproblem 1
Set the factor '(-8 + 3a)' equal to zero and attempt to solve:

Simplifying
-8 + 3a = 0

Solving
-8 + 3a = 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 + 3a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3a = 0 + 8
3a = 0 + 8

Combine like terms: 0 + 8 = 8
3a = 8

Divide each side by '3'.
a = 2.666666667

Simplifying
a = 2.666666667

Subproblem 2
Set the factor '(3 + -2a)' equal to zero and attempt to solve:

Simplifying
3 + -2a = 0

Solving
3 + -2a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2a = 0 + -3
-2a = 0 + -3

Combine like terms: 0 + -3 = -3
-2a = -3

Divide each side by '-2'.
a = 1.5

Simplifying
a = 1.5
Solution
a = {2.666666667, 1.5}

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