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Simplifying 5a3 + -8a2 + 2a3 = 0 Reorder the terms: -8a2 + 5a3 + 2a3 = 0 Combine like terms: 5a3 + 2a3 = 7a3 -8a2 + 7a3 = 0 Solving -8a2 + 7a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(-8 + 7a) = 0Subproblem 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 '(-8 + 7a)' equal to zero and attempt to solve: Simplifying -8 + 7a = 0 Solving -8 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = 0 + 8 7a = 0 + 8 Combine like terms: 0 + 8 = 8 7a = 8 Divide each side by '7'. a = 1.142857143 Simplifying a = 1.142857143Solution
a = {0, 1.142857143}
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