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Simplifying 24a2b + -15ab + -9a = 0 Reorder the terms: -9a + -15ab + 24a2b = 0 Solving -9a + -15ab + 24a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-3 + -5b + 8ab) = 0 Ignore the factor 3.Subproblem 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 '(-3 + -5b + 8ab)' equal to zero and attempt to solve: Simplifying -3 + -5b + 8ab = 0 Reorder the terms: -3 + 8ab + -5b = 0 Solving -3 + 8ab + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 8ab + 3 + -5b = 0 + 3 Reorder the terms: -3 + 3 + 8ab + -5b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8ab + -5b = 0 + 3 8ab + -5b = 0 + 3 Combine like terms: 0 + 3 = 3 8ab + -5b = 3 Add '5b' to each side of the equation. 8ab + -5b + 5b = 3 + 5b Combine like terms: -5b + 5b = 0 8ab + 0 = 3 + 5b 8ab = 3 + 5b Divide each side by '8b'. a = 0.375b-1 + 0.625 Simplifying a = 0.375b-1 + 0.625 Reorder the terms: a = 0.625 + 0.375b-1Solution
a = {0, 0.625 + 0.375b-1}
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