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Simplifying 25a2 + 60ab + 36b2 = 0 Reorder the terms: 60ab + 25a2 + 36b2 = 0 Solving 60ab + 25a2 + 36b2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + 6b)(5a + 6b) = 0Subproblem 1
Set the factor '(5a + 6b)' equal to zero and attempt to solve: Simplifying 5a + 6b = 0 Solving 5a + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 5a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 5a + 0 = 0 + -6b 5a = 0 + -6b Remove the zero: 5a = -6b Divide each side by '5'. a = -1.2b Simplifying a = -1.2bSubproblem 2
Set the factor '(5a + 6b)' equal to zero and attempt to solve: Simplifying 5a + 6b = 0 Solving 5a + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 5a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 5a + 0 = 0 + -6b 5a = 0 + -6b Remove the zero: 5a = -6b Divide each side by '5'. a = -1.2b Simplifying a = -1.2bSolution
a = {-1.2b, -1.2b}
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