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Simplifying 10a2b + 5ab + -15a = 0 Reorder the terms: -15a + 5ab + 10a2b = 0 Solving -15a + 5ab + 10a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-3 + b + 2ab) = 0 Ignore the factor 5.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 + b + 2ab)' equal to zero and attempt to solve: Simplifying -3 + b + 2ab = 0 Reorder the terms: -3 + 2ab + b = 0 Solving -3 + 2ab + b = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2ab + 3 + b = 0 + 3 Reorder the terms: -3 + 3 + 2ab + b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2ab + b = 0 + 3 2ab + b = 0 + 3 Combine like terms: 0 + 3 = 3 2ab + b = 3 Add '-1b' to each side of the equation. 2ab + b + -1b = 3 + -1b Combine like terms: b + -1b = 0 2ab + 0 = 3 + -1b 2ab = 3 + -1b Divide each side by '2b'. a = 1.5b-1 + -0.5 Simplifying a = 1.5b-1 + -0.5 Reorder the terms: a = -0.5 + 1.5b-1Solution
a = {0, -0.5 + 1.5b-1}
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