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Simplifying (5a3)(-3a + -4) = 0 Remove parenthesis around (5a3) 5a3(-3a + -4) = 0 Reorder the terms: 5a3(-4 + -3a) = 0 (-4 * 5a3 + -3a * 5a3) = 0 (-20a3 + -15a4) = 0 Solving -20a3 + -15a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-5a3'. -5a3(4 + 3a) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 0 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 '(4 + 3a)' equal to zero and attempt to solve: Simplifying 4 + 3a = 0 Solving 4 + 3a = 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 + 3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 0 + -4 3a = 0 + -4 Combine like terms: 0 + -4 = -4 3a = -4 Divide each side by '3'. a = -1.333333333 Simplifying a = -1.333333333Solution
a = {-1.333333333}
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