(r-2)(r^2+2r+4)=

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Solution for (r-2)(r^2+2r+4)= equation:


Simplifying
(r + -2)(r2 + 2r + 4) = 0

Reorder the terms:
(-2 + r)(r2 + 2r + 4) = 0

Reorder the terms:
(-2 + r)(4 + 2r + r2) = 0

Multiply (-2 + r) * (4 + 2r + r2)
(-2(4 + 2r + r2) + r(4 + 2r + r2)) = 0
((4 * -2 + 2r * -2 + r2 * -2) + r(4 + 2r + r2)) = 0
((-8 + -4r + -2r2) + r(4 + 2r + r2)) = 0
(-8 + -4r + -2r2 + (4 * r + 2r * r + r2 * r)) = 0
(-8 + -4r + -2r2 + (4r + 2r2 + r3)) = 0

Reorder the terms:
(-8 + -4r + 4r + -2r2 + 2r2 + r3) = 0

Combine like terms: -4r + 4r = 0
(-8 + 0 + -2r2 + 2r2 + r3) = 0
(-8 + -2r2 + 2r2 + r3) = 0

Combine like terms: -2r2 + 2r2 = 0
(-8 + 0 + r3) = 0
(-8 + r3) = 0

Solving
-8 + r3 = 0

Solving for variable 'r'.

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

Add '8' to each side of the equation.
-8 + 8 + r3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + r3 = 0 + 8
r3 = 0 + 8

Combine like terms: 0 + 8 = 8
r3 = 8

Simplifying
r3 = 8

Reorder the terms:
-8 + r3 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + r3 = 0

The solution to this equation could not be determined.

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