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Simplifying 0.5a4 = 32 Solving 0.5a4 = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '0.5'. a4 = 64 Simplifying a4 = 64 Reorder the terms: -64 + a4 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + a4 = 0 Factor a difference between two squares. (8 + a2)(-8 + a2) = 0Subproblem 1
Set the factor '(8 + a2)' equal to zero and attempt to solve: Simplifying 8 + a2 = 0 Solving 8 + a2 = 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 + a2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a2 = 0 + -8 a2 = 0 + -8 Combine like terms: 0 + -8 = -8 a2 = -8 Simplifying a2 = -8 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 '(-8 + a2)' equal to zero and attempt to solve: Simplifying -8 + a2 = 0 Solving -8 + a2 = 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 + a2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + a2 = 0 + 8 a2 = 0 + 8 Combine like terms: 0 + 8 = 8 a2 = 8 Simplifying a2 = 8 Take the square root of each side: a = {-2.828427125, 2.828427125}Solution
a = {-2.828427125, 2.828427125}
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