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Simplifying 7a2 + 60ab + -27b2 = 0 Reorder the terms: 60ab + 7a2 + -27b2 = 0 Solving 60ab + 7a2 + -27b2 = 0 Solving for variable 'a'. Factor a trinomial. (7a + -3b)(a + 9b) = 0Subproblem 1
Set the factor '(7a + -3b)' equal to zero and attempt to solve: Simplifying 7a + -3b = 0 Solving 7a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 7a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 7a + 0 = 0 + 3b 7a = 0 + 3b Remove the zero: 7a = 3b Divide each side by '7'. a = 0.4285714286b Simplifying a = 0.4285714286bSubproblem 2
Set the factor '(a + 9b)' equal to zero and attempt to solve: Simplifying a + 9b = 0 Solving a + 9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 a + 0 = 0 + -9b a = 0 + -9b Remove the zero: a = -9b Simplifying a = -9bSolution
a = {0.4285714286b, -9b}
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