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Simplifying 10c3 + -22c2 + 4c = 2c(5c2 + -11c + 1) Reorder the terms: 4c + -22c2 + 10c3 = 2c(5c2 + -11c + 1) Reorder the terms: 4c + -22c2 + 10c3 = 2c(1 + -11c + 5c2) 4c + -22c2 + 10c3 = (1 * 2c + -11c * 2c + 5c2 * 2c) 4c + -22c2 + 10c3 = (2c + -22c2 + 10c3) Add '22c2' to each side of the equation. 4c + -22c2 + 22c2 + 10c3 = 2c + -22c2 + 22c2 + 10c3 Combine like terms: -22c2 + 22c2 = 0 4c + 0 + 10c3 = 2c + -22c2 + 22c2 + 10c3 4c + 10c3 = 2c + -22c2 + 22c2 + 10c3 Combine like terms: -22c2 + 22c2 = 0 4c + 10c3 = 2c + 0 + 10c3 4c + 10c3 = 2c + 10c3 Add '-10c3' to each side of the equation. 4c + 10c3 + -10c3 = 2c + 10c3 + -10c3 Combine like terms: 10c3 + -10c3 = 0 4c + 0 = 2c + 10c3 + -10c3 4c = 2c + 10c3 + -10c3 Combine like terms: 10c3 + -10c3 = 0 4c = 2c + 0 4c = 2c Solving 4c = 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 4c + -2c = 2c + -2c Combine like terms: 4c + -2c = 2c 2c = 2c + -2c Combine like terms: 2c + -2c = 0 2c = 0 Divide each side by '2'. c = 0 Simplifying c = 0
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