-2a(3a+4b)=

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Solution for -2a(3a+4b)= equation: 


Simplifying
-2a(3a + 4b) = 0
(3a * -2a + 4b * -2a) = 0

Reorder the terms:
(-8ab + -6a2) = 0
(-8ab + -6a2) = 0

Solving
-8ab + -6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-2a'.
-2a(4b + 3a) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

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

Simplifying
4b + 3a = 0

Reorder the terms:
3a + 4b = 0

Solving
3a + 4b = 0

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

Add '-4b' to each side of the equation.
3a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
3a + 0 = 0 + -4b
3a = 0 + -4b
Remove the zero:
3a = -4b

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

Simplifying
a = -1.333333333b
Solution
a = {0, -1.333333333b}

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