(4a-3)(a-2)=

Solution for (4a-3)(a-2)= equation:

Simplifying
(4a + -3)(a + -2) = 0

Reorder the terms:
(-3 + 4a)(a + -2) = 0

Reorder the terms:
(-3 + 4a)(-2 + a) = 0

Multiply (-3 + 4a) * (-2 + a)
(-3(-2 + a) + 4a * (-2 + a)) = 0
((-2 * -3 + a * -3) + 4a * (-2 + a)) = 0
((6 + -3a) + 4a * (-2 + a)) = 0
(6 + -3a + (-2 * 4a + a * 4a)) = 0
(6 + -3a + (-8a + 4a2)) = 0

Combine like terms: -3a + -8a = -11a
(6 + -11a + 4a2) = 0

Solving
6 + -11a + 4a2 = 0

Solving for variable 'a'.

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

Subproblem 1
Set the factor '(3 + -4a)' equal to zero and attempt to solve:

Simplifying
3 + -4a = 0

Solving
3 + -4a = 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 + -4a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4a = 0 + -3
-4a = 0 + -3

Combine like terms: 0 + -3 = -3
-4a = -3

Divide each side by '-4'.
a = 0.75

Simplifying
a = 0.75
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 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 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {0.75, 2}