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Simplifying 15a2b + 7ab + -2b = 0 Reorder the terms: 7ab + 15a2b + -2b = 0 Solving 7ab + 15a2b + -2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(7a + 15a2 + -2) = 0 Factor a trinomial. b((5a + -1)(3a + 2)) = 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 '(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 = -0.6666666667Solution
a = {0.2, -0.6666666667}
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