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Simplifying 56s2 + 23sa + -63a2 = 0 Reorder the terms: 23as + -63a2 + 56s2 = 0 Solving 23as + -63a2 + 56s2 = 0 Solving for variable 'a'. Factor a trinomial. (-9a + -7s)(7a + -8s) = 0Subproblem 1
Set the factor '(-9a + -7s)' equal to zero and attempt to solve: Simplifying -9a + -7s = 0 Solving -9a + -7s = 0 Move all terms containing a to the left, all other terms to the right. Add '7s' to each side of the equation. -9a + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 -9a + 0 = 0 + 7s -9a = 0 + 7s Remove the zero: -9a = 7s Divide each side by '-9'. a = -0.7777777778s Simplifying a = -0.7777777778sSubproblem 2
Set the factor '(7a + -8s)' equal to zero and attempt to solve: Simplifying 7a + -8s = 0 Solving 7a + -8s = 0 Move all terms containing a to the left, all other terms to the right. Add '8s' to each side of the equation. 7a + -8s + 8s = 0 + 8s Combine like terms: -8s + 8s = 0 7a + 0 = 0 + 8s 7a = 0 + 8s Remove the zero: 7a = 8s Divide each side by '7'. a = 1.142857143s Simplifying a = 1.142857143sSolution
a = {-0.7777777778s, 1.142857143s}
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