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Simplifying 54a2 + -144a = 0 Reorder the terms: -144a + 54a2 = 0 Solving -144a + 54a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '18a'. 18a(-8 + 3a) = 0 Ignore the factor 18.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 '(-8 + 3a)' equal to zero and attempt to solve: Simplifying -8 + 3a = 0 Solving -8 + 3a = 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 + 3a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3a = 0 + 8 3a = 0 + 8 Combine like terms: 0 + 8 = 8 3a = 8 Divide each side by '3'. a = 2.666666667 Simplifying a = 2.666666667Solution
a = {0, 2.666666667}
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