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Simplifying 4a16 + -225 = 0 Reorder the terms: -225 + 4a16 = 0 Solving -225 + 4a16 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + 4a16 = 0 + 225 Combine like terms: -225 + 225 = 0 0 + 4a16 = 0 + 225 4a16 = 0 + 225 Combine like terms: 0 + 225 = 225 4a16 = 225 Divide each side by '4'. a16 = 56.25 Simplifying a16 = 56.25 Reorder the terms: -56.25 + a16 = 56.25 + -56.25 Combine like terms: 56.25 + -56.25 = 0.00 -56.25 + a16 = 0.00 Factor a difference between two squares. (7.5 + a8)(-7.5 + a8) = 0.00Subproblem 1
Set the factor '(7.5 + a8)' equal to zero and attempt to solve: Simplifying 7.5 + a8 = 0 Solving 7.5 + a8 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + a8 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + a8 = 0 + -7.5 a8 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 a8 = -7.5 Simplifying a8 = -7.5 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 '(-7.5 + a8)' equal to zero and attempt to solve: Simplifying -7.5 + a8 = 0 Solving -7.5 + a8 = 0 Move all terms containing a to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + a8 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + a8 = 0 + 7.5 a8 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 a8 = 7.5 Simplifying a8 = 7.5 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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