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Simplifying 5a2(3a4 + -2a3) = 0 Reorder the terms: 5a2(-2a3 + 3a4) = 0 (-2a3 * 5a2 + 3a4 * 5a2) = 0 (-10a5 + 15a6) = 0 Solving -10a5 + 15a6 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a5'. 5a5(-2 + 3a) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve: Simplifying a5 = 0 Solving a5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5 = 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 '(-2 + 3a)' equal to zero and attempt to solve: Simplifying -2 + 3a = 0 Solving -2 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3a = 0 + 2 3a = 0 + 2 Combine like terms: 0 + 2 = 2 3a = 2 Divide each side by '3'. a = 0.6666666667 Simplifying a = 0.6666666667Solution
a = {0.6666666667}
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