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Simplifying 256a4 + -625 = 0 Reorder the terms: -625 + 256a4 = 0 Solving -625 + 256a4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '625' to each side of the equation. -625 + 625 + 256a4 = 0 + 625 Combine like terms: -625 + 625 = 0 0 + 256a4 = 0 + 625 256a4 = 0 + 625 Combine like terms: 0 + 625 = 625 256a4 = 625 Divide each side by '256'. a4 = 2.44140625 Simplifying a4 = 2.44140625 Reorder the terms: -2.44140625 + a4 = 2.44140625 + -2.44140625 Combine like terms: 2.44140625 + -2.44140625 = 0.00000000 -2.44140625 + a4 = 0.00000000 Factor a difference between two squares. (1.5625 + a2)(-1.5625 + a2) = 0.00000000 Factor a difference between two squares. (1.5625 + a2)((1.25 + a)(-1.25 + a)) = 0.00000000Subproblem 1
Set the factor '(1.5625 + a2)' equal to zero and attempt to solve: Simplifying 1.5625 + a2 = 0 Solving 1.5625 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.5625' to each side of the equation. 1.5625 + -1.5625 + a2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + a2 = 0 + -1.5625 a2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 a2 = -1.5625 Simplifying a2 = -1.5625 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 '(1.25 + a)' equal to zero and attempt to solve: Simplifying 1.25 + a = 0 Solving 1.25 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + a = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + a = 0 + -1.25 a = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 a = -1.25 Simplifying a = -1.25Subproblem 3
Set the factor '(-1.25 + a)' equal to zero and attempt to solve: Simplifying -1.25 + a = 0 Solving -1.25 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + a = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + a = 0 + 1.25 a = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 a = 1.25 Simplifying a = 1.25Solution
a = {-1.25, 1.25}
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