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Simplifying (3r2 + 10r + -8)(12r2 + -4r + 3) = 0 Reorder the terms: (-8 + 10r + 3r2)(12r2 + -4r + 3) = 0 Reorder the terms: (-8 + 10r + 3r2)(3 + -4r + 12r2) = 0 Multiply (-8 + 10r + 3r2) * (3 + -4r + 12r2) (-8(3 + -4r + 12r2) + 10r * (3 + -4r + 12r2) + 3r2 * (3 + -4r + 12r2)) = 0 ((3 * -8 + -4r * -8 + 12r2 * -8) + 10r * (3 + -4r + 12r2) + 3r2 * (3 + -4r + 12r2)) = 0 ((-24 + 32r + -96r2) + 10r * (3 + -4r + 12r2) + 3r2 * (3 + -4r + 12r2)) = 0 (-24 + 32r + -96r2 + (3 * 10r + -4r * 10r + 12r2 * 10r) + 3r2 * (3 + -4r + 12r2)) = 0 (-24 + 32r + -96r2 + (30r + -40r2 + 120r3) + 3r2 * (3 + -4r + 12r2)) = 0 (-24 + 32r + -96r2 + 30r + -40r2 + 120r3 + (3 * 3r2 + -4r * 3r2 + 12r2 * 3r2)) = 0 (-24 + 32r + -96r2 + 30r + -40r2 + 120r3 + (9r2 + -12r3 + 36r4)) = 0 Reorder the terms: (-24 + 32r + 30r + -96r2 + -40r2 + 9r2 + 120r3 + -12r3 + 36r4) = 0 Combine like terms: 32r + 30r = 62r (-24 + 62r + -96r2 + -40r2 + 9r2 + 120r3 + -12r3 + 36r4) = 0 Combine like terms: -96r2 + -40r2 = -136r2 (-24 + 62r + -136r2 + 9r2 + 120r3 + -12r3 + 36r4) = 0 Combine like terms: -136r2 + 9r2 = -127r2 (-24 + 62r + -127r2 + 120r3 + -12r3 + 36r4) = 0 Combine like terms: 120r3 + -12r3 = 108r3 (-24 + 62r + -127r2 + 108r3 + 36r4) = 0 Solving -24 + 62r + -127r2 + 108r3 + 36r4 = 0 Solving for variable 'r'. The solution to this equation could not be determined.
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