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Simplifying 56s2 + 17sa + -3a2 = 0 Reorder the terms: 17as + -3a2 + 56s2 = 0 Solving 17as + -3a2 + 56s2 = 0 Solving for variable 'a'. Factor a trinomial. (-3a + -7s)(a + -8s) = 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 '(a + -8s)' equal to zero and attempt to solve: Simplifying a + -8s = 0 Solving a + -8s = 0 Move all terms containing a to the left, all other terms to the right. Add '8s' to each side of the equation. a + -8s + 8s = 0 + 8s Combine like terms: -8s + 8s = 0 a + 0 = 0 + 8s a = 0 + 8s Remove the zero: a = 8s Simplifying a = 8sSolution
a = {-2.333333333s, 8s}
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