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Simplifying 5(a)(4b) + -1b(a) + 3a = 0 Remove parenthesis around (4b) 5a * 4b + -1b(a) + 3a = 0 Reorder the terms for easier multiplication: 5 * 4a * b + -1b(a) + 3a = 0 Multiply 5 * 4 20a * b + -1b(a) + 3a = 0 Multiply a * b 20ab + -1b(a) + 3a = 0 Multiply b * a 20ab + -1ab + 3a = 0 Reorder the terms: 3a + 20ab + -1ab = 0 Combine like terms: 20ab + -1ab = 19ab 3a + 19ab = 0 Solving 3a + 19ab = 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(3 + 19b) = 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 '(3 + 19b)' equal to zero and attempt to solve: Simplifying 3 + 19b = 0 Solving 3 + 19b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 19b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 19b = 0 + -3 19b = 0 + -3 Combine like terms: 0 + -3 = -3 19b = -3 Add '-19b' to each side of the equation. 19b + -19b = -3 + -19b Combine like terms: 19b + -19b = 0 0 = -3 + -19b Simplifying 0 = -3 + -19b 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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