(11a+9)(2a-7)=0

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Solution for (11a+9)(2a-7)=0 equation: 


Simplifying
(11a + 9)(2a + -7) = 0

Reorder the terms:
(9 + 11a)(2a + -7) = 0

Reorder the terms:
(9 + 11a)(-7 + 2a) = 0

Multiply (9 + 11a) * (-7 + 2a)
(9(-7 + 2a) + 11a * (-7 + 2a)) = 0
((-7 * 9 + 2a * 9) + 11a * (-7 + 2a)) = 0
((-63 + 18a) + 11a * (-7 + 2a)) = 0
(-63 + 18a + (-7 * 11a + 2a * 11a)) = 0
(-63 + 18a + (-77a + 22a2)) = 0

Combine like terms: 18a + -77a = -59a
(-63 + -59a + 22a2) = 0

Solving
-63 + -59a + 22a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9 + -11a)(7 + -2a) = 0


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

Simplifying
-9 + -11a = 0

Solving
-9 + -11a = 0

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

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

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

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

Divide each side by '-11'.
a = -0.8181818182

Simplifying
a = -0.8181818182

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

Simplifying
7 + -2a = 0

Solving
7 + -2a = 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 + -2a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2a = 0 + -7
-2a = 0 + -7

Combine like terms: 0 + -7 = -7
-2a = -7

Divide each side by '-2'.
a = 3.5

Simplifying
a = 3.5
Solution
a = {-0.8181818182, 3.5}

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