(r-5)(2r+1)(3r-2)=0

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Solution for (r-5)(2r+1)(3r-2)=0 equation:


Simplifying
(r + -5)(2r + 1)(3r + -2) = 0

Reorder the terms:
(-5 + r)(2r + 1)(3r + -2) = 0

Reorder the terms:
(-5 + r)(1 + 2r)(3r + -2) = 0

Reorder the terms:
(-5 + r)(1 + 2r)(-2 + 3r) = 0

Multiply (-5 + r) * (1 + 2r)
(-5(1 + 2r) + r(1 + 2r))(-2 + 3r) = 0
((1 * -5 + 2r * -5) + r(1 + 2r))(-2 + 3r) = 0
((-5 + -10r) + r(1 + 2r))(-2 + 3r) = 0
(-5 + -10r + (1 * r + 2r * r))(-2 + 3r) = 0
(-5 + -10r + (1r + 2r2))(-2 + 3r) = 0

Combine like terms: -10r + 1r = -9r
(-5 + -9r + 2r2)(-2 + 3r) = 0

Multiply (-5 + -9r + 2r2) * (-2 + 3r)
(-5(-2 + 3r) + -9r * (-2 + 3r) + 2r2 * (-2 + 3r)) = 0
((-2 * -5 + 3r * -5) + -9r * (-2 + 3r) + 2r2 * (-2 + 3r)) = 0
((10 + -15r) + -9r * (-2 + 3r) + 2r2 * (-2 + 3r)) = 0
(10 + -15r + (-2 * -9r + 3r * -9r) + 2r2 * (-2 + 3r)) = 0
(10 + -15r + (18r + -27r2) + 2r2 * (-2 + 3r)) = 0
(10 + -15r + 18r + -27r2 + (-2 * 2r2 + 3r * 2r2)) = 0
(10 + -15r + 18r + -27r2 + (-4r2 + 6r3)) = 0

Combine like terms: -15r + 18r = 3r
(10 + 3r + -27r2 + -4r2 + 6r3) = 0

Combine like terms: -27r2 + -4r2 = -31r2
(10 + 3r + -31r2 + 6r3) = 0

Solving
10 + 3r + -31r2 + 6r3 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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