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Simplifying a2 + 1ab + 18ab = 0 Reorder the terms: 1ab + 18ab + a2 = 0 Combine like terms: 1ab + 18ab = 19ab 19ab + a2 = 0 Solving 19ab + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(19b + a) = 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 '(19b + a)' equal to zero and attempt to solve: Simplifying 19b + a = 0 Reorder the terms: a + 19b = 0 Solving a + 19b = 0 Move all terms containing a to the left, all other terms to the right. Add '-19b' to each side of the equation. a + 19b + -19b = 0 + -19b Combine like terms: 19b + -19b = 0 a + 0 = 0 + -19b a = 0 + -19b Remove the zero: a = -19b Simplifying a = -19bSolution
a = {0, -19b}
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