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Simplifying 12a2 + -13as + -35s2 = 0 Reorder the terms: -13as + 12a2 + -35s2 = 0 Solving -13as + 12a2 + -35s2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -7s)(4a + 5s) = 0Subproblem 1
Set the factor '(3a + -7s)' equal to zero and attempt to solve: Simplifying 3a + -7s = 0 Solving 3a + -7s = 0 Move all terms containing a to the left, all other terms to the right. Add '7s' to each side of the equation. 3a + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 3a + 0 = 0 + 7s 3a = 0 + 7s Remove the zero: 3a = 7s Divide each side by '3'. a = 2.333333333s Simplifying a = 2.333333333sSubproblem 2
Set the factor '(4a + 5s)' equal to zero and attempt to solve: Simplifying 4a + 5s = 0 Solving 4a + 5s = 0 Move all terms containing a to the left, all other terms to the right. Add '-5s' to each side of the equation. 4a + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 4a + 0 = 0 + -5s 4a = 0 + -5s Remove the zero: 4a = -5s Divide each side by '4'. a = -1.25s Simplifying a = -1.25sSolution
a = {2.333333333s, -1.25s}
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