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Simplifying 2c2 + -2c + 84 = 0 Reorder the terms: 84 + -2c + 2c2 = 0 Solving 84 + -2c + 2c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(42 + -1c + c2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(42 + -1c + c2)' equal to zero and attempt to solve: Simplifying 42 + -1c + c2 = 0 Solving 42 + -1c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + -1c + -42 + c2 = 0 + -42 Reorder the terms: 42 + -42 + -1c + c2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -1c + c2 = 0 + -42 -1c + c2 = 0 + -42 Combine like terms: 0 + -42 = -42 -1c + c2 = -42 The c term is -1c. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1c + 0.25 + c2 = -42 + 0.25 Reorder the terms: 0.25 + -1c + c2 = -42 + 0.25 Combine like terms: -42 + 0.25 = -41.75 0.25 + -1c + c2 = -41.75 Factor a perfect square on the left side: (c + -0.5)(c + -0.5) = -41.75 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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