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Simplifying 30a2 + 17aw + -35w2 = 0 Reorder the terms: 17aw + 30a2 + -35w2 = 0 Solving 17aw + 30a2 + -35w2 = 0 Solving for variable 'a'. Factor a trinomial. (6a + -5w)(5a + 7w) = 0Subproblem 1
Set the factor '(6a + -5w)' equal to zero and attempt to solve: Simplifying 6a + -5w = 0 Solving 6a + -5w = 0 Move all terms containing a to the left, all other terms to the right. Add '5w' to each side of the equation. 6a + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 6a + 0 = 0 + 5w 6a = 0 + 5w Remove the zero: 6a = 5w Divide each side by '6'. a = 0.8333333333w Simplifying a = 0.8333333333wSubproblem 2
Set the factor '(5a + 7w)' equal to zero and attempt to solve: Simplifying 5a + 7w = 0 Solving 5a + 7w = 0 Move all terms containing a to the left, all other terms to the right. Add '-7w' to each side of the equation. 5a + 7w + -7w = 0 + -7w Combine like terms: 7w + -7w = 0 5a + 0 = 0 + -7w 5a = 0 + -7w Remove the zero: 5a = -7w Divide each side by '5'. a = -1.4w Simplifying a = -1.4wSolution
a = {0.8333333333w, -1.4w}
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