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Simplifying v2 + -17v + 200 = 13v + -43 Reorder the terms: 200 + -17v + v2 = 13v + -43 Reorder the terms: 200 + -17v + v2 = -43 + 13v Solving 200 + -17v + v2 = -43 + 13v Solving for variable 'v'. Reorder the terms: 200 + 43 + -17v + -13v + v2 = -43 + 13v + 43 + -13v Combine like terms: 200 + 43 = 243 243 + -17v + -13v + v2 = -43 + 13v + 43 + -13v Combine like terms: -17v + -13v = -30v 243 + -30v + v2 = -43 + 13v + 43 + -13v Reorder the terms: 243 + -30v + v2 = -43 + 43 + 13v + -13v Combine like terms: -43 + 43 = 0 243 + -30v + v2 = 0 + 13v + -13v 243 + -30v + v2 = 13v + -13v Combine like terms: 13v + -13v = 0 243 + -30v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-243' to each side of the equation. 243 + -30v + -243 + v2 = 0 + -243 Reorder the terms: 243 + -243 + -30v + v2 = 0 + -243 Combine like terms: 243 + -243 = 0 0 + -30v + v2 = 0 + -243 -30v + v2 = 0 + -243 Combine like terms: 0 + -243 = -243 -30v + v2 = -243 The v term is -30v. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30v + 225 + v2 = -243 + 225 Reorder the terms: 225 + -30v + v2 = -243 + 225 Combine like terms: -243 + 225 = -18 225 + -30v + v2 = -18 Factor a perfect square on the left side: (v + -15)(v + -15) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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