srx^2-x-1=x+4

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Solution for srx^2-x-1=x+4 equation:


Simplifying
srx2 + -1x + -1 = x + 4

Reorder the terms:
-1 + rsx2 + -1x = x + 4

Reorder the terms:
-1 + rsx2 + -1x = 4 + x

Solving
-1 + rsx2 + -1x = 4 + x

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + rsx2 + 1 + -1x = 4 + 1 + x

Reorder the terms:
-1 + 1 + rsx2 + -1x = 4 + 1 + x

Combine like terms: -1 + 1 = 0
0 + rsx2 + -1x = 4 + 1 + x
rsx2 + -1x = 4 + 1 + x

Combine like terms: 4 + 1 = 5
rsx2 + -1x = 5 + x

Add 'x' to each side of the equation.
rsx2 + -1x + x = 5 + x + x

Combine like terms: -1x + x = 0
rsx2 + 0 = 5 + x + x
rsx2 = 5 + x + x

Combine like terms: x + x = 2x
rsx2 = 5 + 2x

Divide each side by 'sx2'.
r = 5s-1x-2 + 2s-1x-1

Simplifying
r = 5s-1x-2 + 2s-1x-1

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