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Simplifying 12a2 + -11as + -15s2 = 0 Reorder the terms: -11as + 12a2 + -15s2 = 0 Solving -11as + 12a2 + -15s2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -5s)(4a + 3s) = 0Subproblem 1
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 = 1.666666667sSubproblem 2
Set the factor '(4a + 3s)' equal to zero and attempt to solve: Simplifying 4a + 3s = 0 Solving 4a + 3s = 0 Move all terms containing a to the left, all other terms to the right. Add '-3s' to each side of the equation. 4a + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 4a + 0 = 0 + -3s 4a = 0 + -3s Remove the zero: 4a = -3s Divide each side by '4'. a = -0.75s Simplifying a = -0.75sSolution
a = {1.666666667s, -0.75s}
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