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Simplifying 56a2 + 17aw + -3w2 = 0 Reorder the terms: 17aw + 56a2 + -3w2 = 0 Solving 17aw + 56a2 + -3w2 = 0 Solving for variable 'a'. Factor a trinomial. (8a + -1w)(7a + 3w) = 0Subproblem 1
Set the factor '(8a + -1w)' equal to zero and attempt to solve: Simplifying 8a + -1w = 0 Solving 8a + -1w = 0 Move all terms containing a to the left, all other terms to the right. Add 'w' to each side of the equation. 8a + -1w + w = 0 + w Combine like terms: -1w + w = 0 8a + 0 = 0 + w 8a = 0 + w Remove the zero: 8a = w Divide each side by '8'. a = 0.125w Simplifying a = 0.125wSubproblem 2
Set the factor '(7a + 3w)' equal to zero and attempt to solve: Simplifying 7a + 3w = 0 Solving 7a + 3w = 0 Move all terms containing a to the left, all other terms to the right. Add '-3w' to each side of the equation. 7a + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 7a + 0 = 0 + -3w 7a = 0 + -3w Remove the zero: 7a = -3w Divide each side by '7'. a = -0.4285714286w Simplifying a = -0.4285714286wSolution
a = {0.125w, -0.4285714286w}
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