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Simplifying 20a2 + 13aw + -15w2 = 0 Reorder the terms: 13aw + 20a2 + -15w2 = 0 Solving 13aw + 20a2 + -15w2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -3w)(4a + 5w) = 0Subproblem 1
Set the factor '(5a + -3w)' equal to zero and attempt to solve: Simplifying 5a + -3w = 0 Solving 5a + -3w = 0 Move all terms containing a to the left, all other terms to the right. Add '3w' to each side of the equation. 5a + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 5a + 0 = 0 + 3w 5a = 0 + 3w Remove the zero: 5a = 3w Divide each side by '5'. a = 0.6w Simplifying a = 0.6wSubproblem 2
Set the factor '(4a + 5w)' equal to zero and attempt to solve: Simplifying 4a + 5w = 0 Solving 4a + 5w = 0 Move all terms containing a to the left, all other terms to the right. Add '-5w' to each side of the equation. 4a + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 4a + 0 = 0 + -5w 4a = 0 + -5w Remove the zero: 4a = -5w Divide each side by '4'. a = -1.25w Simplifying a = -1.25wSolution
a = {0.6w, -1.25w}
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