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Simplifying 4c2 + -8c + 40 = 0 Reorder the terms: 40 + -8c + 4c2 = 0 Solving 40 + -8c + 4c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4'. 4(10 + -2c + c2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + -2c + c2)' equal to zero and attempt to solve: Simplifying 10 + -2c + c2 = 0 Solving 10 + -2c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2c + -10 + c2 = 0 + -10 Reorder the terms: 10 + -10 + -2c + c2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2c + c2 = 0 + -10 -2c + c2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2c + c2 = -10 The c term is -2c. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2c + 1 + c2 = -10 + 1 Reorder the terms: 1 + -2c + c2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + -2c + c2 = -9 Factor a perfect square on the left side: (c + -1)(c + -1) = -9 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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