4wd^4-4wh^4=0

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Solution for 4wd^4-4wh^4=0 equation:


Simplifying
4wd4 + -4wh4 = 0

Solving
4d4w + -4h4w = 0

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '4h4w' to each side of the equation.
4d4w + -4h4w + 4h4w = 0 + 4h4w

Combine like terms: -4h4w + 4h4w = 0
4d4w + 0 = 0 + 4h4w
4d4w = 0 + 4h4w
Remove the zero:
4d4w = 4h4w

Divide each side by '4w'.
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)) = 0

Subproblem 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 = -1h

Subproblem 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 = h

Solution

d = {-1h, h}

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