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Simplifying 8rd4 + -8rh4 = 0 Solving 8d4r + -8h4r = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8h4r' to each side of the equation. 8d4r + -8h4r + 8h4r = 0 + 8h4r Combine like terms: -8h4r + 8h4r = 0 8d4r + 0 = 0 + 8h4r 8d4r = 0 + 8h4r Remove the zero: 8d4r = 8h4r Divide each side by '8r'. d4 = h4 Simplifying d4 = h4 Combine like terms: h4 + -1h4 = 0 d4 + -1h4 = 0 Factor a difference between two squares. (d2 + h2)(d2 + -1h2) = 0 Factor a difference between two squares. (d2 + h2)((d + h)(d + -1h)) = 0Subproblem 1
Set the factor '(d2 + h2)' equal to zero and attempt to solve: Simplifying d2 + h2 = 0 Solving d2 + h2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1h2' to each side of the equation. d2 + h2 + -1h2 = 0 + -1h2 Combine like terms: h2 + -1h2 = 0 d2 + 0 = 0 + -1h2 d2 = 0 + -1h2 Remove the zero: d2 = -1h2 Simplifying d2 = -1h2 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 + h)' equal to zero and attempt to solve: Simplifying d + h = 0 Solving d + h = 0 Move all terms containing d to the left, all other terms to the right. Add '-1h' to each side of the equation. d + h + -1h = 0 + -1h Combine like terms: h + -1h = 0 d + 0 = 0 + -1h d = 0 + -1h Remove the zero: d = -1h Simplifying d = -1hSubproblem 3
Set the factor '(d + -1h)' equal to zero and attempt to solve: Simplifying d + -1h = 0 Solving d + -1h = 0 Move all terms containing d to the left, all other terms to the right. Add 'h' to each side of the equation. d + -1h + h = 0 + h Combine like terms: -1h + h = 0 d + 0 = 0 + h d = 0 + h Remove the zero: d = h Simplifying d = hSolution
d = {-1h, h}
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