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Simplifying 15a2b + 51ab + -36b = 0 Reorder the terms: 51ab + 15a2b + -36b = 0 Solving 51ab + 15a2b + -36b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(17a + 5a2 + -12) = 0 Factor a trinomial. 3b((5a + -3)(a + 4)) = 0 Ignore the factor 3.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 '(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 = 0.6Subproblem 3
Set the factor '(a + 4)' equal to zero and attempt to solve: Simplifying a + 4 = 0 Reorder the terms: 4 + a = 0 Solving 4 + a = 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 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Solution
a = {0.6, -4}
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