(9a-7)(2a-4a-4)=

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Solution for (9a-7)(2a-4a-4)= equation: 


Simplifying
(9a + -7)(2a + -4a + -4) = 0

Reorder the terms:
(-7 + 9a)(2a + -4a + -4) = 0

Reorder the terms:
(-7 + 9a)(-4 + 2a + -4a) = 0

Combine like terms: 2a + -4a = -2a
(-7 + 9a)(-4 + -2a) = 0

Multiply (-7 + 9a) * (-4 + -2a)
(-7(-4 + -2a) + 9a * (-4 + -2a)) = 0
((-4 * -7 + -2a * -7) + 9a * (-4 + -2a)) = 0
((28 + 14a) + 9a * (-4 + -2a)) = 0
(28 + 14a + (-4 * 9a + -2a * 9a)) = 0
(28 + 14a + (-36a + -18a2)) = 0

Combine like terms: 14a + -36a = -22a
(28 + -22a + -18a2) = 0

Solving
28 + -22a + -18a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -11a + -9a2) = 0

Factor a trinomial.
2((7 + -9a)(2 + a)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -9a)' equal to zero and attempt to solve:

Simplifying
7 + -9a = 0

Solving
7 + -9a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -9a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9a = 0 + -7
-9a = 0 + -7

Combine like terms: 0 + -7 = -7
-9a = -7

Divide each side by '-9'.
a = 0.7777777778

Simplifying
a = 0.7777777778

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

Simplifying
2 + a = 0

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

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

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

Simplifying
a = -2
Solution
a = {0.7777777778, -2}

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