(a-6b)(a-6b)=

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Solution for (a-6b)(a-6b)= equation:


Simplifying
(a + -6b)(a + -6b) = 0

Multiply (a + -6b) * (a + -6b)
(a(a + -6b) + -6b * (a + -6b)) = 0
((a * a + -6b * a) + -6b * (a + -6b)) = 0

Reorder the terms:
((-6ab + a2) + -6b * (a + -6b)) = 0
((-6ab + a2) + -6b * (a + -6b)) = 0
(-6ab + a2 + (a * -6b + -6b * -6b)) = 0
(-6ab + a2 + (-6ab + 36b2)) = 0

Reorder the terms:
(-6ab + -6ab + a2 + 36b2) = 0

Combine like terms: -6ab + -6ab = -12ab
(-12ab + a2 + 36b2) = 0

Solving
-12ab + a2 + 36b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -6b)(a + -6b) = 0

Subproblem 1

Set the factor '(a + -6b)' equal to zero and attempt to solve: Simplifying a + -6b = 0 Solving a + -6b = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 a + 0 = 0 + 6b a = 0 + 6b Remove the zero: a = 6b Simplifying a = 6b

Subproblem 2

Set the factor '(a + -6b)' equal to zero and attempt to solve: Simplifying a + -6b = 0 Solving a + -6b = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 a + 0 = 0 + 6b a = 0 + 6b Remove the zero: a = 6b Simplifying a = 6b

Solution

a = {6b, 6b}

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