8a^2+65ab+8b^2=

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Solution for 8a^2+65ab+8b^2= equation:


Simplifying
8a2 + 65ab + 8b2 = 0

Reorder the terms:
65ab + 8a2 + 8b2 = 0

Solving
65ab + 8a2 + 8b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(8a + b)(a + 8b) = 0

Subproblem 1

Set the factor '(8a + b)' equal to zero and attempt to solve: Simplifying 8a + b = 0 Solving 8a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 8a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 8a + 0 = 0 + -1b 8a = 0 + -1b Remove the zero: 8a = -1b Divide each side by '8'. a = -0.125b Simplifying a = -0.125b

Subproblem 2

Set the factor '(a + 8b)' equal to zero and attempt to solve: Simplifying a + 8b = 0 Solving a + 8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 a + 0 = 0 + -8b a = 0 + -8b Remove the zero: a = -8b Simplifying a = -8b

Solution

a = {-0.125b, -8b}

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