(7a-7)(6a-4)=

Solution for (7a-7)(6a-4)= equation:

Simplifying
(7a + -7)(6a + -4) = 0

Reorder the terms:
(-7 + 7a)(6a + -4) = 0

Reorder the terms:
(-7 + 7a)(-4 + 6a) = 0

Multiply (-7 + 7a) * (-4 + 6a)
(-7(-4 + 6a) + 7a * (-4 + 6a)) = 0
((-4 * -7 + 6a * -7) + 7a * (-4 + 6a)) = 0
((28 + -42a) + 7a * (-4 + 6a)) = 0
(28 + -42a + (-4 * 7a + 6a * 7a)) = 0
(28 + -42a + (-28a + 42a2)) = 0

Combine like terms: -42a + -28a = -70a
(28 + -70a + 42a2) = 0

Solving
28 + -70a + 42a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '14'.
14(2 + -5a + 3a2) = 0

Factor a trinomial.
14((2 + -3a)(1 + -1a)) = 0

Ignore the factor 14.
Subproblem 1
Set the factor '(2 + -3a)' equal to zero and attempt to solve:

Simplifying
2 + -3a = 0

Solving
2 + -3a = 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 + -3a = 0 + -2

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

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

Divide each side by '-3'.
a = 0.6666666667

Simplifying
a = 0.6666666667
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

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

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

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

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

Simplifying
a = 1
Solution
a = {0.6666666667, 1}