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Simplifying 6a3 + -10a2 = 0 Reorder the terms: -10a2 + 6a3 = 0 Solving -10a2 + 6a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a2'. 2a2(-5 + 3a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-5 + 3a)' equal to zero and attempt to solve: Simplifying -5 + 3a = 0 Solving -5 + 3a = 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 + 3a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = 0 + 5 3a = 0 + 5 Combine like terms: 0 + 5 = 5 3a = 5 Divide each side by '3'. a = 1.666666667 Simplifying a = 1.666666667Solution
a = {0, 1.666666667}
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