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Simplifying 9a2 + -54a * b + 81b2 = 0 Multiply a * b 9a2 + -54ab + 81b2 = 0 Reorder the terms: -54ab + 9a2 + 81b2 = 0 Solving -54ab + 9a2 + 81b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '9'. 9(-6ab + a2 + 9b2) = 0 Factor a trinomial. 9((a + -3b)(a + -3b)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(a + -3b)' equal to zero and attempt to solve: Simplifying a + -3b = 0 Solving a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 a + 0 = 0 + 3b a = 0 + 3b Remove the zero: a = 3b Simplifying a = 3bSubproblem 2
Set the factor '(a + -3b)' equal to zero and attempt to solve: Simplifying a + -3b = 0 Solving a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 a + 0 = 0 + 3b a = 0 + 3b Remove the zero: a = 3b Simplifying a = 3bSolution
a = {3b, 3b}
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