3a^2+7ab+2b^2=0

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Solution for 3a^2+7ab+2b^2=0 equation:


Simplifying
3a2 + 7ab + 2b2 = 0

Reorder the terms:
7ab + 3a2 + 2b2 = 0

Solving
7ab + 3a2 + 2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + b)(a + 2b) = 0

Subproblem 1

Set the factor '(3a + b)' equal to zero and attempt to solve: Simplifying 3a + b = 0 Solving 3a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 3a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 3a + 0 = 0 + -1b 3a = 0 + -1b Remove the zero: 3a = -1b Divide each side by '3'. a = -0.3333333333b Simplifying a = -0.3333333333b

Subproblem 2

Set the factor '(a + 2b)' equal to zero and attempt to solve: Simplifying a + 2b = 0 Solving a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 a + 0 = 0 + -2b a = 0 + -2b Remove the zero: a = -2b Simplifying a = -2b

Solution

a = {-0.3333333333b, -2b}

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