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Simplifying 16X4 + -625 = 0 Reorder the terms: -625 + 16X4 = 0 Solving -625 + 16X4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '625' to each side of the equation. -625 + 625 + 16X4 = 0 + 625 Combine like terms: -625 + 625 = 0 0 + 16X4 = 0 + 625 16X4 = 0 + 625 Combine like terms: 0 + 625 = 625 16X4 = 625 Divide each side by '16'. X4 = 39.0625 Simplifying X4 = 39.0625 Reorder the terms: -39.0625 + X4 = 39.0625 + -39.0625 Combine like terms: 39.0625 + -39.0625 = 0.0000 -39.0625 + X4 = 0.0000 Factor a difference between two squares. (6.25 + X2)(-6.25 + X2) = 0.0000 Factor a difference between two squares. (6.25 + X2)((2.5 + X)(-2.5 + X)) = 0.0000Subproblem 1
Set the factor '(6.25 + X2)' equal to zero and attempt to solve: Simplifying 6.25 + X2 = 0 Solving 6.25 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + X2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + X2 = 0 + -6.25 X2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 X2 = -6.25 Simplifying X2 = -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 + X)' equal to zero and attempt to solve: Simplifying 2.5 + X = 0 Solving 2.5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + X = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + X = 0 + -2.5 X = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 X = -2.5 Simplifying X = -2.5Subproblem 3
Set the factor '(-2.5 + X)' equal to zero and attempt to solve: Simplifying -2.5 + X = 0 Solving -2.5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + X = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + X = 0 + 2.5 X = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 X = 2.5 Simplifying X = 2.5Solution
X = {-2.5, 2.5}
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