-2a(5a+3x+4a-1)=

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Solution for -2a(5a+3x+4a-1)= equation: 


Simplifying
-2a(5a + 3x + 4a + -1) = 0

Reorder the terms:
-2a(-1 + 5a + 4a + 3x) = 0

Combine like terms: 5a + 4a = 9a
-2a(-1 + 9a + 3x) = 0
(-1 * -2a + 9a * -2a + 3x * -2a) = 0

Reorder the terms:
(2a + -6ax + -18a2) = 0
(2a + -6ax + -18a2) = 0

Solving
2a + -6ax + -18a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(1 + -3x + -9a) = 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 '(1 + -3x + -9a)' equal to zero and attempt to solve:

Simplifying
1 + -3x + -9a = 0

Reorder the terms:
1 + -9a + -3x = 0

Solving
1 + -9a + -3x = 0

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

Add '-1' to each side of the equation.
1 + -9a + -1 + -3x = 0 + -1

Reorder the terms:
1 + -1 + -9a + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9a + -3x = 0 + -1
-9a + -3x = 0 + -1

Combine like terms: 0 + -1 = -1
-9a + -3x = -1

Add '3x' to each side of the equation.
-9a + -3x + 3x = -1 + 3x

Combine like terms: -3x + 3x = 0
-9a + 0 = -1 + 3x
-9a = -1 + 3x

Divide each side by '-9'.
a = 0.1111111111 + -0.3333333333x

Simplifying
a = 0.1111111111 + -0.3333333333x
Solution
a = {0, 0.1111111111 + -0.3333333333x}

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