hry-gfr=fry

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Solution for hry-gfr=fry equation:


Simplifying
hry + -1gfr = fry

Reorder the terms:
-1fgr + hry = fry

Solving
-1fgr + hry = fry

Solving for variable 'f'.

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

Add '-1fry' to each side of the equation.
-1fgr + -1fry + hry = fry + -1fry

Combine like terms: fry + -1fry = 0
-1fgr + -1fry + hry = 0

Add '-1hry' to each side of the equation.
-1fgr + -1fry + hry + -1hry = 0 + -1hry

Combine like terms: hry + -1hry = 0
-1fgr + -1fry + 0 = 0 + -1hry
-1fgr + -1fry = 0 + -1hry
Remove the zero:
-1fgr + -1fry = -1hry

Combine like terms: -1hry + hry = 0
-1fgr + -1fry + hry = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-1fg + -1fy + hy) = 0

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing f to the left, all other terms to the right. Add '-1r' to each side of the equation. r + -1r = 0 + -1r Remove the zero: 0 = -1r Simplifying 0 = -1r 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 '(-1fg + -1fy + hy)' equal to zero and attempt to solve: Simplifying -1fg + -1fy + hy = 0 Solving -1fg + -1fy + hy = 0 Move all terms containing f to the left, all other terms to the right. Add '-1hy' to each side of the equation. -1fg + -1fy + hy + -1hy = 0 + -1hy Combine like terms: hy + -1hy = 0 -1fg + -1fy + 0 = 0 + -1hy -1fg + -1fy = 0 + -1hy Remove the zero: -1fg + -1fy = -1hy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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