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Simplifying 20a2b + -11ab + -3b = 0 Reorder the terms: -11ab + 20a2b + -3b = 0 Solving -11ab + 20a2b + -3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(-11a + 20a2 + -3) = 0 Factor a trinomial. b((4a + -3)(5a + 1)) = 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 '(4a + -3)' equal to zero and attempt to solve: Simplifying 4a + -3 = 0 Reorder the terms: -3 + 4a = 0 Solving -3 + 4a = 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 + 4a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = 0 + 3 4a = 0 + 3 Combine like terms: 0 + 3 = 3 4a = 3 Divide each side by '4'. a = 0.75 Simplifying a = 0.75Subproblem 3
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 = -0.2Solution
a = {0.75, -0.2}
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