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Simplifying 2r2 + -6r + 12 + -4R = 0 Reorder the terms: 12 + -4R + -6r + 2r2 = 0 Solving 12 + -4R + -6r + 2r2 = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4R + -6r + -12 + 2r2 = 0 + -12 Reorder the terms: 12 + -12 + -4R + -6r + 2r2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4R + -6r + 2r2 = 0 + -12 -4R + -6r + 2r2 = 0 + -12 Combine like terms: 0 + -12 = -12 -4R + -6r + 2r2 = -12 Add '6r' to each side of the equation. -4R + -6r + 6r + 2r2 = -12 + 6r Combine like terms: -6r + 6r = 0 -4R + 0 + 2r2 = -12 + 6r -4R + 2r2 = -12 + 6r Add '-2r2' to each side of the equation. -4R + 2r2 + -2r2 = -12 + 6r + -2r2 Combine like terms: 2r2 + -2r2 = 0 -4R + 0 = -12 + 6r + -2r2 -4R = -12 + 6r + -2r2 Divide each side by '-4'. R = 3 + -1.5r + 0.5r2 Simplifying R = 3 + -1.5r + 0.5r2
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