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Simplifying -3a5(-4a2 + 8) = 0 Reorder the terms: -3a5(8 + -4a2) = 0 (8 * -3a5 + -4a2 * -3a5) = 0 (-24a5 + 12a7) = 0 Solving -24a5 + 12a7 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '12a5'. 12a5(-2 + a2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve: Simplifying a5 = 0 Solving a5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + a2)' equal to zero and attempt to solve: Simplifying -2 + a2 = 0 Solving -2 + a2 = 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 + a2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + a2 = 0 + 2 a2 = 0 + 2 Combine like terms: 0 + 2 = 2 a2 = 2 Simplifying a2 = 2 Take the square root of each side: a = {-1.414213562, 1.414213562}Solution
a = {-1.414213562, 1.414213562}
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