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Simplifying 25v2 + 45v + 21 = 0 Reorder the terms: 21 + 45v + 25v2 = 0 Solving 21 + 45v + 25v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.84 + 1.8v + v2 = 0 Move the constant term to the right: Add '-0.84' to each side of the equation. 0.84 + 1.8v + -0.84 + v2 = 0 + -0.84 Reorder the terms: 0.84 + -0.84 + 1.8v + v2 = 0 + -0.84 Combine like terms: 0.84 + -0.84 = 0.00 0.00 + 1.8v + v2 = 0 + -0.84 1.8v + v2 = 0 + -0.84 Combine like terms: 0 + -0.84 = -0.84 1.8v + v2 = -0.84 The v term is 1.8v. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8v + 0.81 + v2 = -0.84 + 0.81 Reorder the terms: 0.81 + 1.8v + v2 = -0.84 + 0.81 Combine like terms: -0.84 + 0.81 = -0.03 0.81 + 1.8v + v2 = -0.03 Factor a perfect square on the left side: (v + 0.9)(v + 0.9) = -0.03 Can't calculate square root of the right side. The solution to this equation could not be determined.
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