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Simplifying 12a4 = 30a6 Solving 12a4 = 30a6 Solving for variable 'a'. Combine like terms: 30a6 + -30a6 = 0 12a4 + -30a6 = 0 Factor out the Greatest Common Factor (GCF), '6a4'. 6a4(2 + -5a2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a4' equal to zero and attempt to solve: Simplifying a4 = 0 Solving a4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4 = 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 + -5a2)' equal to zero and attempt to solve: Simplifying 2 + -5a2 = 0 Solving 2 + -5a2 = 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 + -5a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5a2 = 0 + -2 -5a2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5a2 = -2 Divide each side by '-5'. a2 = 0.4 Simplifying a2 = 0.4 Take the square root of each side: a = {-0.632455532, 0.632455532}Solution
a = {-0.632455532, 0.632455532}
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