(r+2)(r-5)(r-2)(r-5)=

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


Simplifying
(r + 2)(r + -5)(r + -2)(r + -5) = 0

Reorder the terms:
(2 + r)(r + -5)(r + -2)(r + -5) = 0

Reorder the terms:
(2 + r)(-5 + r)(r + -2)(r + -5) = 0

Reorder the terms:
(2 + r)(-5 + r)(-2 + r)(r + -5) = 0

Reorder the terms:
(2 + r)(-5 + r)(-2 + r)(-5 + r) = 0

Multiply (2 + r) * (-5 + r)
(2(-5 + r) + r(-5 + r))(-2 + r)(-5 + r) = 0
((-5 * 2 + r * 2) + r(-5 + r))(-2 + r)(-5 + r) = 0
((-10 + 2r) + r(-5 + r))(-2 + r)(-5 + r) = 0
(-10 + 2r + (-5 * r + r * r))(-2 + r)(-5 + r) = 0
(-10 + 2r + (-5r + r2))(-2 + r)(-5 + r) = 0

Combine like terms: 2r + -5r = -3r
(-10 + -3r + r2)(-2 + r)(-5 + r) = 0

Multiply (-10 + -3r + r2) * (-2 + r)
(-10(-2 + r) + -3r * (-2 + r) + r2(-2 + r))(-5 + r) = 0
((-2 * -10 + r * -10) + -3r * (-2 + r) + r2(-2 + r))(-5 + r) = 0
((20 + -10r) + -3r * (-2 + r) + r2(-2 + r))(-5 + r) = 0
(20 + -10r + (-2 * -3r + r * -3r) + r2(-2 + r))(-5 + r) = 0
(20 + -10r + (6r + -3r2) + r2(-2 + r))(-5 + r) = 0
(20 + -10r + 6r + -3r2 + (-2 * r2 + r * r2))(-5 + r) = 0
(20 + -10r + 6r + -3r2 + (-2r2 + r3))(-5 + r) = 0

Combine like terms: -10r + 6r = -4r
(20 + -4r + -3r2 + -2r2 + r3)(-5 + r) = 0

Combine like terms: -3r2 + -2r2 = -5r2
(20 + -4r + -5r2 + r3)(-5 + r) = 0

Multiply (20 + -4r + -5r2 + r3) * (-5 + r)
(20(-5 + r) + -4r * (-5 + r) + -5r2 * (-5 + r) + r3(-5 + r)) = 0
((-5 * 20 + r * 20) + -4r * (-5 + r) + -5r2 * (-5 + r) + r3(-5 + r)) = 0
((-100 + 20r) + -4r * (-5 + r) + -5r2 * (-5 + r) + r3(-5 + r)) = 0
(-100 + 20r + (-5 * -4r + r * -4r) + -5r2 * (-5 + r) + r3(-5 + r)) = 0
(-100 + 20r + (20r + -4r2) + -5r2 * (-5 + r) + r3(-5 + r)) = 0
(-100 + 20r + 20r + -4r2 + (-5 * -5r2 + r * -5r2) + r3(-5 + r)) = 0
(-100 + 20r + 20r + -4r2 + (25r2 + -5r3) + r3(-5 + r)) = 0
(-100 + 20r + 20r + -4r2 + 25r2 + -5r3 + (-5 * r3 + r * r3)) = 0
(-100 + 20r + 20r + -4r2 + 25r2 + -5r3 + (-5r3 + r4)) = 0

Combine like terms: 20r + 20r = 40r
(-100 + 40r + -4r2 + 25r2 + -5r3 + -5r3 + r4) = 0

Combine like terms: -4r2 + 25r2 = 21r2
(-100 + 40r + 21r2 + -5r3 + -5r3 + r4) = 0

Combine like terms: -5r3 + -5r3 = -10r3
(-100 + 40r + 21r2 + -10r3 + r4) = 0

Solving
-100 + 40r + 21r2 + -10r3 + r4 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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