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Simplifying 70a2b + 27ab + -9b = 0 Reorder the terms: 27ab + 70a2b + -9b = 0 Solving 27ab + 70a2b + -9b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(27a + 70a2 + -9) = 0 Factor a trinomial. b((14a + -3)(5a + 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 '(14a + -3)' equal to zero and attempt to solve: Simplifying 14a + -3 = 0 Reorder the terms: -3 + 14a = 0 Solving -3 + 14a = 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 + 14a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 14a = 0 + 3 14a = 0 + 3 Combine like terms: 0 + 3 = 3 14a = 3 Divide each side by '14'. a = 0.2142857143 Simplifying a = 0.2142857143Subproblem 3
Set the factor '(5a + 3)' equal to zero and attempt to solve: Simplifying 5a + 3 = 0 Reorder the terms: 3 + 5a = 0 Solving 3 + 5a = 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 + 5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = 0 + -3 5a = 0 + -3 Combine like terms: 0 + -3 = -3 5a = -3 Divide each side by '5'. a = -0.6 Simplifying a = -0.6Solution
a = {0.2142857143, -0.6}
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