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Simplifying 12ab + -9b2 + -4a2 = 0 Reorder the terms: 12ab + -4a2 + -9b2 = 0 Solving 12ab + -4a2 + -9b2 = 0 Solving for variable 'a'. Factor a trinomial. (-2a + 3b)(2a + -3b) = 0Subproblem 1
Set the factor '(-2a + 3b)' equal to zero and attempt to solve: Simplifying -2a + 3b = 0 Solving -2a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -2a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -2a + 0 = 0 + -3b -2a = 0 + -3b Remove the zero: -2a = -3b Divide each side by '-2'. a = 1.5b Simplifying a = 1.5bSubproblem 2
Set the factor '(2a + -3b)' equal to zero and attempt to solve: Simplifying 2a + -3b = 0 Solving 2a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 2a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 2a + 0 = 0 + 3b 2a = 0 + 3b Remove the zero: 2a = 3b Divide each side by '2'. a = 1.5b Simplifying a = 1.5bSolution
a = {1.5b, 1.5b}
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