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Simplifying 42a2 + -19aw + -35w2 = 0 Reorder the terms: -19aw + 42a2 + -35w2 = 0 Solving -19aw + 42a2 + -35w2 = 0 Solving for variable 'a'. Factor a trinomial. (6a + -7w)(7a + 5w) = 0Subproblem 1
Set the factor '(6a + -7w)' equal to zero and attempt to solve: Simplifying 6a + -7w = 0 Solving 6a + -7w = 0 Move all terms containing a to the left, all other terms to the right. Add '7w' to each side of the equation. 6a + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 6a + 0 = 0 + 7w 6a = 0 + 7w Remove the zero: 6a = 7w Divide each side by '6'. a = 1.166666667w Simplifying a = 1.166666667wSubproblem 2
Set the factor '(7a + 5w)' equal to zero and attempt to solve: Simplifying 7a + 5w = 0 Solving 7a + 5w = 0 Move all terms containing a to the left, all other terms to the right. Add '-5w' to each side of the equation. 7a + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 7a + 0 = 0 + -5w 7a = 0 + -5w Remove the zero: 7a = -5w Divide each side by '7'. a = -0.7142857143w Simplifying a = -0.7142857143wSolution
a = {1.166666667w, -0.7142857143w}
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