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Simplifying 5a2 + -27ab + 36b2 = 0 Reorder the terms: -27ab + 5a2 + 36b2 = 0 Solving -27ab + 5a2 + 36b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -3b)(5a + -12b) = 0Subproblem 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 '(5a + -12b)' equal to zero and attempt to solve: Simplifying 5a + -12b = 0 Solving 5a + -12b = 0 Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. 5a + -12b + 12b = 0 + 12b Combine like terms: -12b + 12b = 0 5a + 0 = 0 + 12b 5a = 0 + 12b Remove the zero: 5a = 12b Divide each side by '5'. a = 2.4b Simplifying a = 2.4bSolution
a = {3b, 2.4b}
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