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Simplifying 72a3 + -98ab2 = 0 Reorder the terms: -98ab2 + 72a3 = 0 Solving -98ab2 + 72a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-49b2 + 36a2) = 0 Factor a difference between two squares. 2a((7b + 6a)(-7b + 6a)) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(7b + 6a)' equal to zero and attempt to solve: Simplifying 7b + 6a = 0 Reorder the terms: 6a + 7b = 0 Solving 6a + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 6a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 6a + 0 = 0 + -7b 6a = 0 + -7b Remove the zero: 6a = -7b Divide each side by '6'. a = -1.166666667b Simplifying a = -1.166666667bSubproblem 3
Set the factor '(-7b + 6a)' equal to zero and attempt to solve: Simplifying -7b + 6a = 0 Reorder the terms: 6a + -7b = 0 Solving 6a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 6a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 6a + 0 = 0 + 7b 6a = 0 + 7b Remove the zero: 6a = 7b Divide each side by '6'. a = 1.166666667b Simplifying a = 1.166666667bSolution
a = {0, -1.166666667b, 1.166666667b}
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