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Simplifying 0 = 4k2 + -15k + 20 Reorder the terms: 0 = 20 + -15k + 4k2 Solving 0 = 20 + -15k + 4k2 Solving for variable 'k'. Combine like terms: 0 + -20 = -20 -20 + 15k + -4k2 = 20 + -15k + 4k2 + -20 + 15k + -4k2 Reorder the terms: -20 + 15k + -4k2 = 20 + -20 + -15k + 15k + 4k2 + -4k2 Combine like terms: 20 + -20 = 0 -20 + 15k + -4k2 = 0 + -15k + 15k + 4k2 + -4k2 -20 + 15k + -4k2 = -15k + 15k + 4k2 + -4k2 Combine like terms: -15k + 15k = 0 -20 + 15k + -4k2 = 0 + 4k2 + -4k2 -20 + 15k + -4k2 = 4k2 + -4k2 Combine like terms: 4k2 + -4k2 = 0 -20 + 15k + -4k2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 5 + -3.75k + k2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3.75k + -5 + k2 = 0 + -5 Reorder the terms: 5 + -5 + -3.75k + k2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3.75k + k2 = 0 + -5 -3.75k + k2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3.75k + k2 = -5 The k term is -3.75k. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75k + 3.515625 + k2 = -5 + 3.515625 Reorder the terms: 3.515625 + -3.75k + k2 = -5 + 3.515625 Combine like terms: -5 + 3.515625 = -1.484375 3.515625 + -3.75k + k2 = -1.484375 Factor a perfect square on the left side: (k + -1.875)(k + -1.875) = -1.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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