11a(a+20)6=

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Solution for 11a(a+20)6= equation:


Simplifying
11a(a + 20) * 6 = 0

Reorder the terms:
11a(20 + a) * 6 = 0

Reorder the terms for easier multiplication:
11 * 6a(20 + a) = 0

Multiply 11 * 6
66a(20 + a) = 0
(20 * 66a + a * 66a) = 0
(1320a + 66a2) = 0

Solving
1320a + 66a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '66a'.
66a(20 + a) = 0

Ignore the factor 66.

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 '(20 + a)' equal to zero and attempt to solve: Simplifying 20 + a = 0 Solving 20 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + a = 0 + -20 a = 0 + -20 Combine like terms: 0 + -20 = -20 a = -20 Simplifying a = -20

Solution

a = {0, -20}

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