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Simplifying -14c2 + -8c + -3 = 0 Reorder the terms: -3 + -8c + -14c2 = 0 Solving -3 + -8c + -14c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 8c + 14c2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 8c + 14c2)' equal to zero and attempt to solve: Simplifying 3 + 8c + 14c2 = 0 Solving 3 + 8c + 14c2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.2142857143 + 0.5714285714c + c2 = 0 Move the constant term to the right: Add '-0.2142857143' to each side of the equation. 0.2142857143 + 0.5714285714c + -0.2142857143 + c2 = 0 + -0.2142857143 Reorder the terms: 0.2142857143 + -0.2142857143 + 0.5714285714c + c2 = 0 + -0.2142857143 Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000 0.0000000000 + 0.5714285714c + c2 = 0 + -0.2142857143 0.5714285714c + c2 = 0 + -0.2142857143 Combine like terms: 0 + -0.2142857143 = -0.2142857143 0.5714285714c + c2 = -0.2142857143 The c term is 0.5714285714c. Take half its coefficient (0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. 0.5714285714c + 0.08163265305 + c2 = -0.2142857143 + 0.08163265305 Reorder the terms: 0.08163265305 + 0.5714285714c + c2 = -0.2142857143 + 0.08163265305 Combine like terms: -0.2142857143 + 0.08163265305 = -0.13265306125 0.08163265305 + 0.5714285714c + c2 = -0.13265306125 Factor a perfect square on the left side: (c + 0.2857142857)(c + 0.2857142857) = -0.13265306125 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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