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Simplifying 8a4 = 9a2 Solving 8a4 = 9a2 Solving for variable 'a'. Reorder the terms: -9a2 + 8a4 = 9a2 + -9a2 Combine like terms: 9a2 + -9a2 = 0 -9a2 + 8a4 = 0 Factor out the Greatest Common Factor (GCF), 'a2'. a2(-9 + 8a2) = 0Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-9 + 8a2)' equal to zero and attempt to solve: Simplifying -9 + 8a2 = 0 Solving -9 + 8a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8a2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8a2 = 0 + 9 8a2 = 0 + 9 Combine like terms: 0 + 9 = 9 8a2 = 9 Divide each side by '8'. a2 = 1.125 Simplifying a2 = 1.125 Take the square root of each side: a = {-1.060660172, 1.060660172}Solution
a = {0, -1.060660172, 1.060660172}
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