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Simplifying 20a2 + -13as + -15s2 = 0 Reorder the terms: -13as + 20a2 + -15s2 = 0 Solving -13as + 20a2 + -15s2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + -5s)(5a + 3s) = 0Subproblem 1
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 = 1.25sSubproblem 2
Set the factor '(5a + 3s)' equal to zero and attempt to solve: Simplifying 5a + 3s = 0 Solving 5a + 3s = 0 Move all terms containing a to the left, all other terms to the right. Add '-3s' to each side of the equation. 5a + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 5a + 0 = 0 + -3s 5a = 0 + -3s Remove the zero: 5a = -3s Divide each side by '5'. a = -0.6s Simplifying a = -0.6sSolution
a = {1.25s, -0.6s}
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