7a^2+18ab+11b^2=0

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Solution for 7a^2+18ab+11b^2=0 equation:


Simplifying
7a2 + 18ab + 11b2 = 0

Reorder the terms:
18ab + 7a2 + 11b2 = 0

Solving
18ab + 7a2 + 11b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + b)(7a + 11b) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7a + 11b)' equal to zero and attempt to solve: Simplifying 7a + 11b = 0 Solving 7a + 11b = 0 Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 7a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 7a + 0 = 0 + -11b 7a = 0 + -11b Remove the zero: 7a = -11b Divide each side by '7'. a = -1.571428571b Simplifying a = -1.571428571b

Solution

a = {-1b, -1.571428571b}

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