7a^2+13ab+6b^2=

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Solution for 7a^2+13ab+6b^2= equation:


Simplifying
7a2 + 13ab + 6b2 = 0

Reorder the terms:
13ab + 7a2 + 6b2 = 0

Solving
13ab + 7a2 + 6b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7a + 6b)(a + b) = 0

Subproblem 1

Set the factor '(7a + 6b)' equal to zero and attempt to solve: Simplifying 7a + 6b = 0 Solving 7a + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 7a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 7a + 0 = 0 + -6b 7a = 0 + -6b Remove the zero: 7a = -6b Divide each side by '7'. a = -0.8571428571b Simplifying a = -0.8571428571b

Subproblem 2

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

Solution

a = {-0.8571428571b, -1b}

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