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

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


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

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

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

Solving for variable 'r'.

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

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

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

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

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

Add '2x' to each side of the equation.
rx + -2x + 2x + x2 = -4 + 2x

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

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

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

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

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

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

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