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Simplifying 8a2 + -6a = 0 Reorder the terms: -6a + 8a2 = 0 Solving -6a + 8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-3 + 4a) = 0 Ignore the factor 2.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 '(-3 + 4a)' equal to zero and attempt to solve: Simplifying -3 + 4a = 0 Solving -3 + 4a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = 0 + 3 4a = 0 + 3 Combine like terms: 0 + 3 = 3 4a = 3 Divide each side by '4'. a = 0.75 Simplifying a = 0.75Solution
a = {0, 0.75}
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