a^2+10ab+25b^2=0

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Solution for a^2+10ab+25b^2=0 equation:


Simplifying
a2 + 10ab + 25b2 = 0

Reorder the terms:
10ab + a2 + 25b2 = 0

Solving
10ab + a2 + 25b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + 5b)(a + 5b) = 0

Subproblem 1

Set the factor '(a + 5b)' equal to zero and attempt to solve: Simplifying a + 5b = 0 Solving a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 a + 0 = 0 + -5b a = 0 + -5b Remove the zero: a = -5b Simplifying a = -5b

Subproblem 2

Set the factor '(a + 5b)' equal to zero and attempt to solve: Simplifying a + 5b = 0 Solving a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 a + 0 = 0 + -5b a = 0 + -5b Remove the zero: a = -5b Simplifying a = -5b

Solution

a = {-5b, -5b}

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