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Simplifying 5e + -2e2 = 21 Solving 5e + -2e2 = 21 Solving for variable 'e'. Reorder the terms: -21 + 5e + -2e2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 5e + -2e2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 10.5 + -2.5e + e2 = 0 Move the constant term to the right: Add '-10.5' to each side of the equation. 10.5 + -2.5e + -10.5 + e2 = 0 + -10.5 Reorder the terms: 10.5 + -10.5 + -2.5e + e2 = 0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -2.5e + e2 = 0 + -10.5 -2.5e + e2 = 0 + -10.5 Combine like terms: 0 + -10.5 = -10.5 -2.5e + e2 = -10.5 The e term is -2.5e. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5e + 1.5625 + e2 = -10.5 + 1.5625 Reorder the terms: 1.5625 + -2.5e + e2 = -10.5 + 1.5625 Combine like terms: -10.5 + 1.5625 = -8.9375 1.5625 + -2.5e + e2 = -8.9375 Factor a perfect square on the left side: (e + -1.25)(e + -1.25) = -8.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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