(1-3a)(1-4a)=

Solution for (1-3a)(1-4a)= equation:

Simplifying
(1 + -3a)(1 + -4a) = 0

Multiply (1 + -3a) * (1 + -4a)
(1(1 + -4a) + -3a * (1 + -4a)) = 0
((1 * 1 + -4a * 1) + -3a * (1 + -4a)) = 0
((1 + -4a) + -3a * (1 + -4a)) = 0
(1 + -4a + (1 * -3a + -4a * -3a)) = 0
(1 + -4a + (-3a + 12a2)) = 0

Combine like terms: -4a + -3a = -7a
(1 + -7a + 12a2) = 0

Solving
1 + -7a + 12a2 = 0

Solving for variable 'a'.

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

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

Simplifying
1 + -4a = 0

Solving
1 + -4a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4a = 0 + -1

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

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

Divide each side by '-4'.
a = 0.25

Simplifying
a = 0.25
Subproblem 2
Set the factor '(1 + -3a)' equal to zero and attempt to solve:

Simplifying
1 + -3a = 0

Solving
1 + -3a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3a = 0 + -1
-3a = 0 + -1

Combine like terms: 0 + -1 = -1
-3a = -1

Divide each side by '-3'.
a = 0.3333333333

Simplifying
a = 0.3333333333
Solution
a = {0.25, 0.3333333333}