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Simplifying 5a2 + -14ab + -24b2 = 0 Reorder the terms: -14ab + 5a2 + -24b2 = 0 Solving -14ab + 5a2 + -24b2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -4b)(5a + 6b) = 0Subproblem 1
Set the factor '(a + -4b)' equal to zero and attempt to solve: Simplifying a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4bSubproblem 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 = {4b, -1.2b}
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