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Simplifying 15(a2) * b + 22ab + 8b = 0 Multiply a2 * b 15a2b + 22ab + 8b = 0 Reorder the terms: 22ab + 15a2b + 8b = 0 Solving 22ab + 15a2b + 8b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(22a + 15a2 + 8) = 0 Factor a trinomial. b((3a + 2)(5a + 4)) = 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 '(3a + 2)' equal to zero and attempt to solve: Simplifying 3a + 2 = 0 Reorder the terms: 2 + 3a = 0 Solving 2 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 0 + -2 3a = 0 + -2 Combine like terms: 0 + -2 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667Subproblem 3
Set the factor '(5a + 4)' equal to zero and attempt to solve: Simplifying 5a + 4 = 0 Reorder the terms: 4 + 5a = 0 Solving 4 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 0 + -4 5a = 0 + -4 Combine like terms: 0 + -4 = -4 5a = -4 Divide each side by '5'. a = -0.8 Simplifying a = -0.8Solution
a = {-0.6666666667, -0.8}
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