6a^2+11ab+ab^2=0

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Solution for 6a^2+11ab+ab^2=0 equation:


Simplifying
6a2 + 11ab + ab2 = 0

Reorder the terms:
11ab + ab2 + 6a2 = 0

Solving
11ab + ab2 + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(11b + b2 + 6a) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(11b + b2 + 6a)' equal to zero and attempt to solve: Simplifying 11b + b2 + 6a = 0 Reorder the terms: 6a + 11b + b2 = 0 Solving 6a + 11b + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 6a + 11b + -11b + b2 = 0 + -11b Combine like terms: 11b + -11b = 0 6a + 0 + b2 = 0 + -11b 6a + b2 = 0 + -11b Remove the zero: 6a + b2 = -11b Add '-1b2' to each side of the equation. 6a + b2 + -1b2 = -11b + -1b2 Combine like terms: b2 + -1b2 = 0 6a + 0 = -11b + -1b2 6a = -11b + -1b2 Divide each side by '6'. a = -1.833333333b + -0.1666666667b2 Simplifying a = -1.833333333b + -0.1666666667b2

Solution

a = {0, -1.833333333b + -0.1666666667b2}

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