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Simplifying 625 + -16a4 = 0 Solving 625 + -16a4 = 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 + -16a4 = 0 + -625 Combine like terms: 625 + -625 = 0 0 + -16a4 = 0 + -625 -16a4 = 0 + -625 Combine like terms: 0 + -625 = -625 -16a4 = -625 Divide each side by '-16'. a4 = 39.0625 Simplifying a4 = 39.0625 Reorder the terms: -39.0625 + a4 = 39.0625 + -39.0625 Combine like terms: 39.0625 + -39.0625 = 0.0000 -39.0625 + a4 = 0.0000 Factor a difference between two squares. (6.25 + a2)(-6.25 + a2) = 0.0000 Factor a difference between two squares. (6.25 + a2)((2.5 + a)(-2.5 + a)) = 0.0000Subproblem 1
Set the factor '(6.25 + a2)' equal to zero and attempt to solve: Simplifying 6.25 + a2 = 0 Solving 6.25 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + a2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + a2 = 0 + -6.25 a2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 a2 = -6.25 Simplifying a2 = -6.25 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 '(2.5 + a)' equal to zero and attempt to solve: Simplifying 2.5 + a = 0 Solving 2.5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + a = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = 0 + -2.5 a = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 a = -2.5 Simplifying a = -2.5Subproblem 3
Set the factor '(-2.5 + a)' equal to zero and attempt to solve: Simplifying -2.5 + a = 0 Solving -2.5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + a = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + a = 0 + 2.5 a = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 a = 2.5 Simplifying a = 2.5Solution
a = {-2.5, 2.5}
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