10a^2+5ab+5a=

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Solution for 10a^2+5ab+5a= equation:


Simplifying
10a2 + 5ab + 5a = 0

Reorder the terms:
5a + 5ab + 10a2 = 0

Solving
5a + 5ab + 10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(1 + b + 2a) = 0

Ignore the factor 5.

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 + b + 2a)' equal to zero and attempt to solve: Simplifying 1 + b + 2a = 0 Reorder the terms: 1 + 2a + b = 0 Solving 1 + 2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2a + -1 + b = 0 + -1 Reorder the terms: 1 + -1 + 2a + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a + b = 0 + -1 2a + b = 0 + -1 Combine like terms: 0 + -1 = -1 2a + b = -1 Add '-1b' to each side of the equation. 2a + b + -1b = -1 + -1b Combine like terms: b + -1b = 0 2a + 0 = -1 + -1b 2a = -1 + -1b Divide each side by '2'. a = -0.5 + -0.5b Simplifying a = -0.5 + -0.5b

Solution

a = {0, -0.5 + -0.5b}

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