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Simplifying v2 + -8v = -20 Reorder the terms: -8v + v2 = -20 Solving -8v + v2 = -20 Solving for variable 'v'. Reorder the terms: 20 + -8v + v2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + -8v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -8v + -20 + v2 = 0 + -20 Reorder the terms: 20 + -20 + -8v + v2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8v + v2 = 0 + -20 -8v + v2 = 0 + -20 Combine like terms: 0 + -20 = -20 -8v + v2 = -20 The v term is -8v. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8v + 16 + v2 = -20 + 16 Reorder the terms: 16 + -8v + v2 = -20 + 16 Combine like terms: -20 + 16 = -4 16 + -8v + v2 = -4 Factor a perfect square on the left side: (v + -4)(v + -4) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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