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Simplifying 12b2 + 13ba + -35a2 = 0 Reorder the terms: 13ab + -35a2 + 12b2 = 0 Solving 13ab + -35a2 + 12b2 = 0 Solving for variable 'a'. Factor a trinomial. (-7a + -3b)(5a + -4b) = 0Subproblem 1
Set the factor '(-7a + -3b)' equal to zero and attempt to solve: Simplifying -7a + -3b = 0 Solving -7a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -7a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 -7a + 0 = 0 + 3b -7a = 0 + 3b Remove the zero: -7a = 3b Divide each side by '-7'. a = -0.4285714286b Simplifying a = -0.4285714286bSubproblem 2
Set the factor '(5a + -4b)' equal to zero and attempt to solve: Simplifying 5a + -4b = 0 Solving 5a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 5a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 5a + 0 = 0 + 4b 5a = 0 + 4b Remove the zero: 5a = 4b Divide each side by '5'. a = 0.8b Simplifying a = 0.8bSolution
a = {-0.4285714286b, 0.8b}
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