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Simplifying 25v(25v) + -30v = -9 Remove parenthesis around (25v) 25v * 25v + -30v = -9 Reorder the terms for easier multiplication: 25 * 25v * v + -30v = -9 Multiply 25 * 25 625v * v + -30v = -9 Multiply v * v 625v2 + -30v = -9 Reorder the terms: -30v + 625v2 = -9 Solving -30v + 625v2 = -9 Solving for variable 'v'. Reorder the terms: 9 + -30v + 625v2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -30v + 625v2 = 0 Begin completing the square. Divide all terms by 625 the coefficient of the squared term: Divide each side by '625'. 0.0144 + -0.048v + v2 = 0 Move the constant term to the right: Add '-0.0144' to each side of the equation. 0.0144 + -0.048v + -0.0144 + v2 = 0 + -0.0144 Reorder the terms: 0.0144 + -0.0144 + -0.048v + v2 = 0 + -0.0144 Combine like terms: 0.0144 + -0.0144 = 0.0000 0.0000 + -0.048v + v2 = 0 + -0.0144 -0.048v + v2 = 0 + -0.0144 Combine like terms: 0 + -0.0144 = -0.0144 -0.048v + v2 = -0.0144 The v term is -0.048v. Take half its coefficient (-0.024). Square it (0.000576) and add it to both sides. Add '0.000576' to each side of the equation. -0.048v + 0.000576 + v2 = -0.0144 + 0.000576 Reorder the terms: 0.000576 + -0.048v + v2 = -0.0144 + 0.000576 Combine like terms: -0.0144 + 0.000576 = -0.013824 0.000576 + -0.048v + v2 = -0.013824 Factor a perfect square on the left side: (v + -0.024)(v + -0.024) = -0.013824 Can't calculate square root of the right side. The solution to this equation could not be determined.
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