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Simplifying 56a2 + 23ab + -63b2 = 0 Reorder the terms: 23ab + 56a2 + -63b2 = 0 Solving 23ab + 56a2 + -63b2 = 0 Solving for variable 'a'. Factor a trinomial. (8a + -7b)(7a + 9b) = 0Subproblem 1
Set the factor '(8a + -7b)' equal to zero and attempt to solve: Simplifying 8a + -7b = 0 Solving 8a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 8a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 8a + 0 = 0 + 7b 8a = 0 + 7b Remove the zero: 8a = 7b Divide each side by '8'. a = 0.875b Simplifying a = 0.875bSubproblem 2
Set the factor '(7a + 9b)' equal to zero and attempt to solve: Simplifying 7a + 9b = 0 Solving 7a + 9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 7a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 7a + 0 = 0 + -9b 7a = 0 + -9b Remove the zero: 7a = -9b Divide each side by '7'. a = -1.285714286b Simplifying a = -1.285714286bSolution
a = {0.875b, -1.285714286b}
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