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Simplifying 36a2 + -30ab + -6b2 = 0 Reorder the terms: -30ab + 36a2 + -6b2 = 0 Solving -30ab + 36a2 + -6b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6'. 6(-5ab + 6a2 + -1b2) = 0 Factor a trinomial. 6((a + -1b)(6a + b)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve: Simplifying a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = bSubproblem 2
Set the factor '(6a + b)' equal to zero and attempt to solve: Simplifying 6a + b = 0 Solving 6a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 6a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 6a + 0 = 0 + -1b 6a = 0 + -1b Remove the zero: 6a = -1b Divide each side by '6'. a = -0.1666666667b Simplifying a = -0.1666666667bSolution
a = {b, -0.1666666667b}
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