0=x^2+rx-2x+4

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Solution for 0=x^2+rx-2x+4 equation:


Simplifying
0 = x2 + rx + -2x + 4

Reorder the terms:
0 = 4 + rx + -2x + x2

Solving
0 = 4 + rx + -2x + x2

Solving for variable 'r'.

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

Add '-1rx' to each side of the equation.
0 + -1rx = 4 + rx + -2x + -1rx + x2
Remove the zero:
-1rx = 4 + rx + -2x + -1rx + x2

Reorder the terms:
-1rx = 4 + rx + -1rx + -2x + x2

Combine like terms: rx + -1rx = 0
-1rx = 4 + 0 + -2x + x2
-1rx = 4 + -2x + x2

Divide each side by '-1x'.
r = -4x-1 + 2 + -1x

Simplifying
r = -4x-1 + 2 + -1x

Reorder the terms:
r = 2 + -4x-1 + -1x

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