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Simplifying 625r4 + -1d4 = 0 Reorder the terms: -1d4 + 625r4 = 0 Solving -1d4 + 625r4 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-625r4' to each side of the equation. -1d4 + 625r4 + -625r4 = 0 + -625r4 Combine like terms: 625r4 + -625r4 = 0 -1d4 + 0 = 0 + -625r4 -1d4 = 0 + -625r4 Remove the zero: -1d4 = -625r4 Divide each side by '-1'. d4 = 625r4 Simplifying d4 = 625r4 Combine like terms: 625r4 + -625r4 = 0 d4 + -625r4 = 0 Factor a difference between two squares. (d2 + 25r2)(d2 + -25r2) = 0 Factor a difference between two squares. (d2 + 25r2)((d + 5r)(d + -5r)) = 0Subproblem 1
Set the factor '(d2 + 25r2)' equal to zero and attempt to solve: Simplifying d2 + 25r2 = 0 Solving d2 + 25r2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-25r2' to each side of the equation. d2 + 25r2 + -25r2 = 0 + -25r2 Combine like terms: 25r2 + -25r2 = 0 d2 + 0 = 0 + -25r2 d2 = 0 + -25r2 Remove the zero: d2 = -25r2 Simplifying d2 = -25r2 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 '(d + 5r)' equal to zero and attempt to solve: Simplifying d + 5r = 0 Solving d + 5r = 0 Move all terms containing d to the left, all other terms to the right. Add '-5r' to each side of the equation. d + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 d + 0 = 0 + -5r d = 0 + -5r Remove the zero: d = -5r Simplifying d = -5rSubproblem 3
Set the factor '(d + -5r)' equal to zero and attempt to solve: Simplifying d + -5r = 0 Solving d + -5r = 0 Move all terms containing d to the left, all other terms to the right. Add '5r' to each side of the equation. d + -5r + 5r = 0 + 5r Combine like terms: -5r + 5r = 0 d + 0 = 0 + 5r d = 0 + 5r Remove the zero: d = 5r Simplifying d = 5rSolution
d = {-5r, 5r}
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