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Simplifying 24a2b + -21ab + -15a = 0 Reorder the terms: -15a + -21ab + 24a2b = 0 Solving -15a + -21ab + 24a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-5 + -7b + 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 '(-5 + -7b + 8ab)' equal to zero and attempt to solve: Simplifying -5 + -7b + 8ab = 0 Reorder the terms: -5 + 8ab + -7b = 0 Solving -5 + 8ab + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 8ab + 5 + -7b = 0 + 5 Reorder the terms: -5 + 5 + 8ab + -7b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8ab + -7b = 0 + 5 8ab + -7b = 0 + 5 Combine like terms: 0 + 5 = 5 8ab + -7b = 5 Add '7b' to each side of the equation. 8ab + -7b + 7b = 5 + 7b Combine like terms: -7b + 7b = 0 8ab + 0 = 5 + 7b 8ab = 5 + 7b Divide each side by '8b'. a = 0.625b-1 + 0.875 Simplifying a = 0.625b-1 + 0.875 Reorder the terms: a = 0.875 + 0.625b-1Solution
a = {0, 0.875 + 0.625b-1}
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