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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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