r(x+2)=2x^2-5x+1

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Solution for r(x+2)=2x^2-5x+1 equation:


Simplifying
r(x + 2) = 2x2 + -5x + 1

Reorder the terms:
r(2 + x) = 2x2 + -5x + 1
(2 * r + x * r) = 2x2 + -5x + 1
(2r + rx) = 2x2 + -5x + 1

Reorder the terms:
2r + rx = 1 + -5x + 2x2

Solving
2r + rx = 1 + -5x + 2x2

Solving for variable 'r'.

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

Reorder the terms:
-1 + 2r + rx + 5x + -2x2 = 1 + -5x + 2x2 + -1 + 5x + -2x2

Reorder the terms:
-1 + 2r + rx + 5x + -2x2 = 1 + -1 + -5x + 5x + 2x2 + -2x2

Combine like terms: 1 + -1 = 0
-1 + 2r + rx + 5x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2
-1 + 2r + rx + 5x + -2x2 = -5x + 5x + 2x2 + -2x2

Combine like terms: -5x + 5x = 0
-1 + 2r + rx + 5x + -2x2 = 0 + 2x2 + -2x2
-1 + 2r + rx + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1 + 2r + rx + 5x + -2x2 = 0

The solution to this equation could not be determined.

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