(9a-4)(9a+11)=

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Solution for (9a-4)(9a+11)= equation: 


Simplifying
(9a + -4)(9a + 11) = 0

Reorder the terms:
(-4 + 9a)(9a + 11) = 0

Reorder the terms:
(-4 + 9a)(11 + 9a) = 0

Multiply (-4 + 9a) * (11 + 9a)
(-4(11 + 9a) + 9a * (11 + 9a)) = 0
((11 * -4 + 9a * -4) + 9a * (11 + 9a)) = 0
((-44 + -36a) + 9a * (11 + 9a)) = 0
(-44 + -36a + (11 * 9a + 9a * 9a)) = 0
(-44 + -36a + (99a + 81a2)) = 0

Combine like terms: -36a + 99a = 63a
(-44 + 63a + 81a2) = 0

Solving
-44 + 63a + 81a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-11 + -9a)(4 + -9a) = 0


Subproblem 1
Set the factor '(-11 + -9a)' equal to zero and attempt to solve:

Simplifying
-11 + -9a = 0

Solving
-11 + -9a = 0

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

Add '11' to each side of the equation.
-11 + 11 + -9a = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -9a = 0 + 11
-9a = 0 + 11

Combine like terms: 0 + 11 = 11
-9a = 11

Divide each side by '-9'.
a = -1.222222222

Simplifying
a = -1.222222222

Subproblem 2
Set the factor '(4 + -9a)' equal to zero and attempt to solve:

Simplifying
4 + -9a = 0

Solving
4 + -9a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9a = 0 + -4
-9a = 0 + -4

Combine like terms: 0 + -4 = -4
-9a = -4

Divide each side by '-9'.
a = 0.4444444444

Simplifying
a = 0.4444444444
Solution
a = {-1.222222222, 0.4444444444}

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