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Simplifying 30a2 + 19as + -63s2 = 0 Reorder the terms: 19as + 30a2 + -63s2 = 0 Solving 19as + 30a2 + -63s2 = 0 Solving for variable 'a'. Factor a trinomial. (6a + -7s)(5a + 9s) = 0Subproblem 1
Set the factor '(6a + -7s)' equal to zero and attempt to solve: Simplifying 6a + -7s = 0 Solving 6a + -7s = 0 Move all terms containing a to the left, all other terms to the right. Add '7s' to each side of the equation. 6a + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 6a + 0 = 0 + 7s 6a = 0 + 7s Remove the zero: 6a = 7s Divide each side by '6'. a = 1.166666667s Simplifying a = 1.166666667sSubproblem 2
Set the factor '(5a + 9s)' equal to zero and attempt to solve: Simplifying 5a + 9s = 0 Solving 5a + 9s = 0 Move all terms containing a to the left, all other terms to the right. Add '-9s' to each side of the equation. 5a + 9s + -9s = 0 + -9s Combine like terms: 9s + -9s = 0 5a + 0 = 0 + -9s 5a = 0 + -9s Remove the zero: 5a = -9s Divide each side by '5'. a = -1.8s Simplifying a = -1.8sSolution
a = {1.166666667s, -1.8s}
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