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Simplifying 4a6 + -256 = 0 Reorder the terms: -256 + 4a6 = 0 Solving -256 + 4a6 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '256' to each side of the equation. -256 + 256 + 4a6 = 0 + 256 Combine like terms: -256 + 256 = 0 0 + 4a6 = 0 + 256 4a6 = 0 + 256 Combine like terms: 0 + 256 = 256 4a6 = 256 Divide each side by '4'. a6 = 64 Simplifying a6 = 64 Reorder the terms: -64 + a6 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + a6 = 0 Factor a difference between two squares. (8 + a3)(-8 + a3) = 0Subproblem 1
Set the factor '(8 + a3)' equal to zero and attempt to solve: Simplifying 8 + a3 = 0 Solving 8 + a3 = 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 + a3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a3 = 0 + -8 a3 = 0 + -8 Combine like terms: 0 + -8 = -8 a3 = -8 Simplifying a3 = -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 + a3)' equal to zero and attempt to solve: Simplifying -8 + a3 = 0 Solving -8 + a3 = 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 + a3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + a3 = 0 + 8 a3 = 0 + 8 Combine like terms: 0 + 8 = 8 a3 = 8 Simplifying a3 = 8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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