(7a-12)(9a-8)=

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Solution for (7a-12)(9a-8)= equation: 


Simplifying
(7a + -12)(9a + -8) = 0

Reorder the terms:
(-12 + 7a)(9a + -8) = 0

Reorder the terms:
(-12 + 7a)(-8 + 9a) = 0

Multiply (-12 + 7a) * (-8 + 9a)
(-12(-8 + 9a) + 7a * (-8 + 9a)) = 0
((-8 * -12 + 9a * -12) + 7a * (-8 + 9a)) = 0
((96 + -108a) + 7a * (-8 + 9a)) = 0
(96 + -108a + (-8 * 7a + 9a * 7a)) = 0
(96 + -108a + (-56a + 63a2)) = 0

Combine like terms: -108a + -56a = -164a
(96 + -164a + 63a2) = 0

Solving
96 + -164a + 63a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(8 + -9a)(12 + -7a) = 0


Subproblem 1
Set the factor '(8 + -9a)' equal to zero and attempt to solve:

Simplifying
8 + -9a = 0

Solving
8 + -9a = 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 + -9a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9a = 0 + -8
-9a = 0 + -8

Combine like terms: 0 + -8 = -8
-9a = -8

Divide each side by '-9'.
a = 0.8888888889

Simplifying
a = 0.8888888889

Subproblem 2
Set the factor '(12 + -7a)' equal to zero and attempt to solve:

Simplifying
12 + -7a = 0

Solving
12 + -7a = 0

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

Add '-12' to each side of the equation.
12 + -12 + -7a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7a = 0 + -12
-7a = 0 + -12

Combine like terms: 0 + -12 = -12
-7a = -12

Divide each side by '-7'.
a = 1.714285714

Simplifying
a = 1.714285714
Solution
a = {0.8888888889, 1.714285714}

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