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Simplifying 18 + 0.3v + 0.2v(v + -4) = 7.2 Reorder the terms: 18 + 0.3v + 0.2v(-4 + v) = 7.2 18 + 0.3v + (-4 * 0.2v + v * 0.2v) = 7.2 18 + 0.3v + (-0.8v + 0.2v2) = 7.2 Combine like terms: 0.3v + -0.8v = -0.5v 18 + -0.5v + 0.2v2 = 7.2 Solving 18 + -0.5v + 0.2v2 = 7.2 Solving for variable 'v'. Reorder the terms: 18 + -7.2 + -0.5v + 0.2v2 = 7.2 + -7.2 Combine like terms: 18 + -7.2 = 10.8 10.8 + -0.5v + 0.2v2 = 7.2 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 10.8 + -0.5v + 0.2v2 = 0.0 Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 54 + -2.5v + v2 = 0 Move the constant term to the right: Add '-54' to each side of the equation. 54 + -2.5v + -54 + v2 = 0 + -54 Reorder the terms: 54 + -54 + -2.5v + v2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -2.5v + v2 = 0 + -54 -2.5v + v2 = 0 + -54 Combine like terms: 0 + -54 = -54 -2.5v + v2 = -54 The v term is -2.5v. 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. -2.5v + 1.5625 + v2 = -54 + 1.5625 Reorder the terms: 1.5625 + -2.5v + v2 = -54 + 1.5625 Combine like terms: -54 + 1.5625 = -52.4375 1.5625 + -2.5v + v2 = -52.4375 Factor a perfect square on the left side: (v + -1.25)(v + -1.25) = -52.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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