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Simplifying 14a2b + 64ab + -30b = 0 Reorder the terms: 64ab + 14a2b + -30b = 0 Solving 64ab + 14a2b + -30b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(32a + 7a2 + -15) = 0 Factor a trinomial. 2b((7a + -3)(a + 5)) = 0 Ignore the factor 2.Subproblem 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 '(7a + -3)' equal to zero and attempt to solve: Simplifying 7a + -3 = 0 Reorder the terms: -3 + 7a = 0 Solving -3 + 7a = 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 + 7a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 0 + 3 7a = 0 + 3 Combine like terms: 0 + 3 = 3 7a = 3 Divide each side by '7'. a = 0.4285714286 Simplifying a = 0.4285714286Subproblem 3
Set the factor '(a + 5)' equal to zero and attempt to solve: Simplifying a + 5 = 0 Reorder the terms: 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Solution
a = {0.4285714286, -5}
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