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Simplifying 10a2b + 13ab + -3b = 0 Reorder the terms: 13ab + 10a2b + -3b = 0 Solving 13ab + 10a2b + -3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(13a + 10a2 + -3) = 0 Factor a trinomial. b((5a + -1)(2a + 3)) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5a + -1)' equal to zero and attempt to solve: Simplifying 5a + -1 = 0 Reorder the terms: -1 + 5a = 0 Solving -1 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = 0 + 1 5a = 0 + 1 Combine like terms: 0 + 1 = 1 5a = 1 Divide each side by '5'. a = 0.2 Simplifying a = 0.2Subproblem 3
Set the factor '(2a + 3)' equal to zero and attempt to solve: Simplifying 2a + 3 = 0 Reorder the terms: 3 + 2a = 0 Solving 3 + 2a = 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 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Solution
a = {0.2, -1.5}
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