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Simplifying -6250(d4) = -10 Solving -6250d4 = -10 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by '-6250'. d4 = 0.0016 Simplifying d4 = 0.0016 Reorder the terms: -0.0016 + d4 = 0.0016 + -0.0016 Combine like terms: 0.0016 + -0.0016 = 0.0000 -0.0016 + d4 = 0.0000 Factor a difference between two squares. (0.04 + d2)(-0.04 + d2) = 0.0000 Factor a difference between two squares. (0.04 + d2)((0.2 + d)(-0.2 + d)) = 0.0000Subproblem 1
Set the factor '(0.04 + d2)' equal to zero and attempt to solve: Simplifying 0.04 + d2 = 0 Solving 0.04 + d2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + d2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + d2 = 0 + -0.04 d2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 d2 = -0.04 Simplifying d2 = -0.04 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 '(0.2 + d)' equal to zero and attempt to solve: Simplifying 0.2 + d = 0 Solving 0.2 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + d = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + d = 0 + -0.2 d = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 d = -0.2 Simplifying d = -0.2Subproblem 3
Set the factor '(-0.2 + d)' equal to zero and attempt to solve: Simplifying -0.2 + d = 0 Solving -0.2 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + d = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + d = 0 + 0.2 d = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 d = 0.2 Simplifying d = 0.2Solution
d = {-0.2, 0.2}
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