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Simplifying 25a2 + -120ab + 144b2 = 0 Reorder the terms: -120ab + 25a2 + 144b2 = 0 Solving -120ab + 25a2 + 144b2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -12b)(5a + -12b) = 0Subproblem 1
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 = 2.4bSubproblem 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 = {2.4b, 2.4b}
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