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Simplifying 4c(c + 2) + -2(2c2 + -1) = 36 + -9(3c + -4) Reorder the terms: 4c(2 + c) + -2(2c2 + -1) = 36 + -9(3c + -4) (2 * 4c + c * 4c) + -2(2c2 + -1) = 36 + -9(3c + -4) (8c + 4c2) + -2(2c2 + -1) = 36 + -9(3c + -4) Reorder the terms: 8c + 4c2 + -2(-1 + 2c2) = 36 + -9(3c + -4) 8c + 4c2 + (-1 * -2 + 2c2 * -2) = 36 + -9(3c + -4) 8c + 4c2 + (2 + -4c2) = 36 + -9(3c + -4) Reorder the terms: 2 + 8c + 4c2 + -4c2 = 36 + -9(3c + -4) Combine like terms: 4c2 + -4c2 = 0 2 + 8c + 0 = 36 + -9(3c + -4) 2 + 8c = 36 + -9(3c + -4) Reorder the terms: 2 + 8c = 36 + -9(-4 + 3c) 2 + 8c = 36 + (-4 * -9 + 3c * -9) 2 + 8c = 36 + (36 + -27c) Combine like terms: 36 + 36 = 72 2 + 8c = 72 + -27c Solving 2 + 8c = 72 + -27c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '27c' to each side of the equation. 2 + 8c + 27c = 72 + -27c + 27c Combine like terms: 8c + 27c = 35c 2 + 35c = 72 + -27c + 27c Combine like terms: -27c + 27c = 0 2 + 35c = 72 + 0 2 + 35c = 72 Add '-2' to each side of the equation. 2 + -2 + 35c = 72 + -2 Combine like terms: 2 + -2 = 0 0 + 35c = 72 + -2 35c = 72 + -2 Combine like terms: 72 + -2 = 70 35c = 70 Divide each side by '35'. c = 2 Simplifying c = 2
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