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Simplifying 8aw2 + -5aw + -10a = 0 Reorder the terms: -10a + -5aw + 8aw2 = 0 Solving -10a + -5aw + 8aw2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(-10 + -5w + 8w2) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-10 + -5w + 8w2)' equal to zero and attempt to solve: Simplifying -10 + -5w + 8w2 = 0 Solving -10 + -5w + 8w2 = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5w + 10 + 8w2 = 0 + 10 Reorder the terms: -10 + 10 + -5w + 8w2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5w + 8w2 = 0 + 10 -5w + 8w2 = 0 + 10 Combine like terms: 0 + 10 = 10 -5w + 8w2 = 10 Add '5w' to each side of the equation. -5w + 5w + 8w2 = 10 + 5w Combine like terms: -5w + 5w = 0 0 + 8w2 = 10 + 5w 8w2 = 10 + 5w Add '-8w2' to each side of the equation. 8w2 + -8w2 = 10 + 5w + -8w2 Combine like terms: 8w2 + -8w2 = 0 0 = 10 + 5w + -8w2 Simplifying 0 = 10 + 5w + -8w2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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