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Simplifying 14a2b3 + 15ab3 + -9b3 = 0 Reorder the terms: 15ab3 + 14a2b3 + -9b3 = 0 Solving 15ab3 + 14a2b3 + -9b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b3'. b3(15a + 14a2 + -9) = 0 Factor a trinomial. b3((7a + -3)(2a + 3)) = 0Subproblem 1
Set the factor 'b3' equal to zero and attempt to solve: Simplifying b3 = 0 Solving b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b3' to each side of the equation. b3 + -1b3 = 0 + -1b3 Remove the zero: 0 = -1b3 Simplifying 0 = -1b3 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 '(2a + 3)' equal to zero and attempt to solve: Simplifying 2a + 3 = 0 Reorder the terms: 3 + 2a = 0 Solving 3 + 2a = 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 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Solution
a = {0.4285714286, -1.5}
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