(11a+8)(3a-4)=0

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Solution for (11a+8)(3a-4)=0 equation: 


Simplifying
(11a + 8)(3a + -4) = 0

Reorder the terms:
(8 + 11a)(3a + -4) = 0

Reorder the terms:
(8 + 11a)(-4 + 3a) = 0

Multiply (8 + 11a) * (-4 + 3a)
(8(-4 + 3a) + 11a * (-4 + 3a)) = 0
((-4 * 8 + 3a * 8) + 11a * (-4 + 3a)) = 0
((-32 + 24a) + 11a * (-4 + 3a)) = 0
(-32 + 24a + (-4 * 11a + 3a * 11a)) = 0
(-32 + 24a + (-44a + 33a2)) = 0

Combine like terms: 24a + -44a = -20a
(-32 + -20a + 33a2) = 0

Solving
-32 + -20a + 33a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-8 + -11a)(4 + -3a) = 0


Subproblem 1
Set the factor '(-8 + -11a)' equal to zero and attempt to solve:

Simplifying
-8 + -11a = 0

Solving
-8 + -11a = 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 + -11a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11a = 0 + 8
-11a = 0 + 8

Combine like terms: 0 + 8 = 8
-11a = 8

Divide each side by '-11'.
a = -0.7272727273

Simplifying
a = -0.7272727273

Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -3a = 0

Solving
4 + -3a = 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 + -3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4

Combine like terms: 0 + -4 = -4
-3a = -4

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333
Solution
a = {-0.7272727273, 1.333333333}

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