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Simplifying c(3c + 2) + -3(c2 + 4c + -17) = 1x Reorder the terms: c(2 + 3c) + -3(c2 + 4c + -17) = 1x (2 * c + 3c * c) + -3(c2 + 4c + -17) = 1x (2c + 3c2) + -3(c2 + 4c + -17) = 1x Reorder the terms: 2c + 3c2 + -3(-17 + 4c + c2) = 1x 2c + 3c2 + (-17 * -3 + 4c * -3 + c2 * -3) = 1x 2c + 3c2 + (51 + -12c + -3c2) = 1x Reorder the terms: 51 + 2c + -12c + 3c2 + -3c2 = 1x Combine like terms: 2c + -12c = -10c 51 + -10c + 3c2 + -3c2 = 1x Combine like terms: 3c2 + -3c2 = 0 51 + -10c + 0 = 1x 51 + -10c = 1x Solving 51 + -10c = 1x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -10c = -51 + 1x Combine like terms: 51 + -51 = 0 0 + -10c = -51 + 1x -10c = -51 + 1x Divide each side by '-10'. c = 5.1 + -0.1x Simplifying c = 5.1 + -0.1x
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