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Simplifying [(3c)(3c) + -7] + (4c + 7) + -1[(c)(c) + 5c + -8] = 0 Remove parenthesis around (3c) [3c(3c) + -7] + (4c + 7) + -1[(c)(c) + 5c + -8] = 0 Remove parenthesis around (3c) [3c * 3c + -7] + (4c + 7) + -1[(c)(c) + 5c + -8] = 0 Reorder the terms for easier multiplication: [3 * 3c * c + -7] + (4c + 7) + -1[(c)(c) + 5c + -8] = 0 Multiply 3 * 3 [9c * c + -7] + (4c + 7) + -1[(c)(c) + 5c + -8] = 0 Multiply c * c [9c2 + -7] + (4c + 7) + -1[(c)(c) + 5c + -8] = 0 Reorder the terms: [-7 + 9c2] + (4c + 7) + -1[(c)(c) + 5c + -8] = 0 Remove brackets around [-7 + 9c2] -7 + 9c2 + (4c + 7) + -1[(c)(c) + 5c + -8] = 0 Reorder the terms: -7 + 9c2 + (7 + 4c) + -1[(c)(c) + 5c + -8] = 0 Remove parenthesis around (7 + 4c) -7 + 9c2 + 7 + 4c + -1[(c)(c) + 5c + -8] = 0 Multiply c * c -7 + 9c2 + 7 + 4c + -1[c2 + 5c + -8] = 0 Reorder the terms: -7 + 9c2 + 7 + 4c + -1[-8 + 5c + c2] = 0 -7 + 9c2 + 7 + 4c + [-8 * -1 + 5c * -1 + c2 * -1] = 0 -7 + 9c2 + 7 + 4c + [8 + -5c + -1c2] = 0 Reorder the terms: -7 + 7 + 8 + 4c + -5c + 9c2 + -1c2 = 0 Combine like terms: -7 + 7 = 0 0 + 8 + 4c + -5c + 9c2 + -1c2 = 0 8 + 4c + -5c + 9c2 + -1c2 = 0 Combine like terms: 4c + -5c = -1c 8 + -1c + 9c2 + -1c2 = 0 Combine like terms: 9c2 + -1c2 = 8c2 8 + -1c + 8c2 = 0 Solving 8 + -1c + 8c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1 + -0.125c + c2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.125c + -1 + c2 = 0 + -1 Reorder the terms: 1 + -1 + -0.125c + c2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.125c + c2 = 0 + -1 -0.125c + c2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.125c + c2 = -1 The c term is -0.125c. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125c + 0.00390625 + c2 = -1 + 0.00390625 Reorder the terms: 0.00390625 + -0.125c + c2 = -1 + 0.00390625 Combine like terms: -1 + 0.00390625 = -0.99609375 0.00390625 + -0.125c + c2 = -0.99609375 Factor a perfect square on the left side: (c + -0.0625)(c + -0.0625) = -0.99609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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