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Simplifying 51a3 + -34a = 0 Reorder the terms: -34a + 51a3 = 0 Solving -34a + 51a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '17a'. 17a(-2 + 3a2) = 0 Ignore the factor 17.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-2 + 3a2)' equal to zero and attempt to solve: Simplifying -2 + 3a2 = 0 Solving -2 + 3a2 = 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 + 3a2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3a2 = 0 + 2 3a2 = 0 + 2 Combine like terms: 0 + 2 = 2 3a2 = 2 Divide each side by '3'. a2 = 0.6666666667 Simplifying a2 = 0.6666666667 Take the square root of each side: a = {-0.816496581, 0.816496581}Solution
a = {0, -0.816496581, 0.816496581}
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