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Simplifying (R2 + -5r + 6)(2r2 + -1r + -1) = 0 Reorder the terms: (6 + R2 + -5r)(2r2 + -1r + -1) = 0 Reorder the terms: (6 + R2 + -5r)(-1 + -1r + 2r2) = 0 Multiply (6 + R2 + -5r) * (-1 + -1r + 2r2) (6(-1 + -1r + 2r2) + R2(-1 + -1r + 2r2) + -5r * (-1 + -1r + 2r2)) = 0 ((-1 * 6 + -1r * 6 + 2r2 * 6) + R2(-1 + -1r + 2r2) + -5r * (-1 + -1r + 2r2)) = 0 ((-6 + -6r + 12r2) + R2(-1 + -1r + 2r2) + -5r * (-1 + -1r + 2r2)) = 0 (-6 + -6r + 12r2 + (-1 * R2 + -1r * R2 + 2r2 * R2) + -5r * (-1 + -1r + 2r2)) = 0 (-6 + -6r + 12r2 + (-1R2 + -1rR2 + 2r2R2) + -5r * (-1 + -1r + 2r2)) = 0 (-6 + -6r + 12r2 + -1R2 + -1rR2 + 2r2R2 + (-1 * -5r + -1r * -5r + 2r2 * -5r)) = 0 (-6 + -6r + 12r2 + -1R2 + -1rR2 + 2r2R2 + (5r + 5r2 + -10r3)) = 0 Reorder the terms: (-6 + -1R2 + -6r + 5r + -1rR2 + 12r2 + 5r2 + 2r2R2 + -10r3) = 0 Combine like terms: -6r + 5r = -1r (-6 + -1R2 + -1r + -1rR2 + 12r2 + 5r2 + 2r2R2 + -10r3) = 0 Combine like terms: 12r2 + 5r2 = 17r2 (-6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3) = 0 Solving -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + 6 + -10r3 = 0 + 6 Reorder the terms: -6 + 6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 0 + 6 -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 0 + 6 Combine like terms: 0 + 6 = 6 -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 6 Add 'r' to each side of the equation. -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + r + -10r3 = 6 + r Reorder the terms: -1R2 + -1r + r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 6 + r Combine like terms: -1r + r = 0 -1R2 + 0 + -1rR2 + 17r2 + 2r2R2 + -10r3 = 6 + r -1R2 + -1rR2 + 17r2 + 2r2R2 + -10r3 = 6 + r Add '-17r2' to each side of the equation. -1R2 + -1rR2 + 17r2 + 2r2R2 + -17r2 + -10r3 = 6 + r + -17r2 Reorder the terms: -1R2 + -1rR2 + 17r2 + -17r2 + 2r2R2 + -10r3 = 6 + r + -17r2 Combine like terms: 17r2 + -17r2 = 0 -1R2 + -1rR2 + 0 + 2r2R2 + -10r3 = 6 + r + -17r2 -1R2 + -1rR2 + 2r2R2 + -10r3 = 6 + r + -17r2 Add '10r3' to each side of the equation. -1R2 + -1rR2 + 2r2R2 + -10r3 + 10r3 = 6 + r + -17r2 + 10r3 Combine like terms: -10r3 + 10r3 = 0 -1R2 + -1rR2 + 2r2R2 + 0 = 6 + r + -17r2 + 10r3 -1R2 + -1rR2 + 2r2R2 = 6 + r + -17r2 + 10r3 Reorder the terms: -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 6 + r + -17r2 + 10r3 + -6 + -1r + 17r2 + -10r3 Reorder the terms: -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 6 + -6 + r + -1r + -17r2 + 17r2 + 10r3 + -10r3 Combine like terms: 6 + -6 = 0 -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 0 + r + -1r + -17r2 + 17r2 + 10r3 + -10r3 -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = r + -1r + -17r2 + 17r2 + 10r3 + -10r3 Combine like terms: r + -1r = 0 -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 0 + -17r2 + 17r2 + 10r3 + -10r3 -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = -17r2 + 17r2 + 10r3 + -10r3 Combine like terms: -17r2 + 17r2 = 0 -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 0 + 10r3 + -10r3 -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 10r3 + -10r3 Combine like terms: 10r3 + -10r3 = 0 -6 + -1R2 + -1r + -1rR2 + 17r2 + 2r2R2 + -10r3 = 0 The solution to this equation could not be determined.
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