5a*(2a+2b)=0

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Solution for 5a*(2a+2b)=0 equation:


Simplifying
5a(2a + 2b) = 0
(2a * 5a + 2b * 5a) = 0

Reorder the terms:
(10ab + 10a2) = 0
(10ab + 10a2) = 0

Solving
10ab + 10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '10a'.
10a(b + a) = 0

Ignore the factor 10.

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 '(b + a)' equal to zero and attempt to solve: Simplifying b + a = 0 Reorder the terms: a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1b

Solution

a = {0, -1b}

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