(5r-3)(2r^2+5r-8)=0

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Solution for (5r-3)(2r^2+5r-8)=0 equation: 


Simplifying
(5r + -3)(2r2 + 5r + -8) = 0

Reorder the terms:
(-3 + 5r)(2r2 + 5r + -8) = 0

Reorder the terms:
(-3 + 5r)(-8 + 5r + 2r2) = 0

Multiply (-3 + 5r) * (-8 + 5r + 2r2)
(-3(-8 + 5r + 2r2) + 5r * (-8 + 5r + 2r2)) = 0
((-8 * -3 + 5r * -3 + 2r2 * -3) + 5r * (-8 + 5r + 2r2)) = 0
((24 + -15r + -6r2) + 5r * (-8 + 5r + 2r2)) = 0
(24 + -15r + -6r2 + (-8 * 5r + 5r * 5r + 2r2 * 5r)) = 0
(24 + -15r + -6r2 + (-40r + 25r2 + 10r3)) = 0

Reorder the terms:
(24 + -15r + -40r + -6r2 + 25r2 + 10r3) = 0

Combine like terms: -15r + -40r = -55r
(24 + -55r + -6r2 + 25r2 + 10r3) = 0

Combine like terms: -6r2 + 25r2 = 19r2
(24 + -55r + 19r2 + 10r3) = 0

Solving
24 + -55r + 19r2 + 10r3 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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