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Simplifying 6a2 + -11as + -35s2 = 0 Reorder the terms: -11as + 6a2 + -35s2 = 0 Solving -11as + 6a2 + -35s2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -7s)(3a + 5s) = 0Subproblem 1
Set the factor '(2a + -7s)' equal to zero and attempt to solve: Simplifying 2a + -7s = 0 Solving 2a + -7s = 0 Move all terms containing a to the left, all other terms to the right. Add '7s' to each side of the equation. 2a + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 2a + 0 = 0 + 7s 2a = 0 + 7s Remove the zero: 2a = 7s Divide each side by '2'. a = 3.5s Simplifying a = 3.5sSubproblem 2
Set the factor '(3a + 5s)' equal to zero and attempt to solve: Simplifying 3a + 5s = 0 Solving 3a + 5s = 0 Move all terms containing a to the left, all other terms to the right. Add '-5s' to each side of the equation. 3a + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 3a + 0 = 0 + -5s 3a = 0 + -5s Remove the zero: 3a = -5s Divide each side by '3'. a = -1.666666667s Simplifying a = -1.666666667sSolution
a = {3.5s, -1.666666667s}
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