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Simplifying 52v2 + 19v + 4 = 0 Reorder the terms: 4 + 19v + 52v2 = 0 Solving 4 + 19v + 52v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 52 the coefficient of the squared term: Divide each side by '52'. 0.07692307692 + 0.3653846154v + v2 = 0 Move the constant term to the right: Add '-0.07692307692' to each side of the equation. 0.07692307692 + 0.3653846154v + -0.07692307692 + v2 = 0 + -0.07692307692 Reorder the terms: 0.07692307692 + -0.07692307692 + 0.3653846154v + v2 = 0 + -0.07692307692 Combine like terms: 0.07692307692 + -0.07692307692 = 0.00000000000 0.00000000000 + 0.3653846154v + v2 = 0 + -0.07692307692 0.3653846154v + v2 = 0 + -0.07692307692 Combine like terms: 0 + -0.07692307692 = -0.07692307692 0.3653846154v + v2 = -0.07692307692 The v term is 0.3653846154v. Take half its coefficient (0.1826923077). Square it (0.03337647929) and add it to both sides. Add '0.03337647929' to each side of the equation. 0.3653846154v + 0.03337647929 + v2 = -0.07692307692 + 0.03337647929 Reorder the terms: 0.03337647929 + 0.3653846154v + v2 = -0.07692307692 + 0.03337647929 Combine like terms: -0.07692307692 + 0.03337647929 = -0.04354659763 0.03337647929 + 0.3653846154v + v2 = -0.04354659763 Factor a perfect square on the left side: (v + 0.1826923077)(v + 0.1826923077) = -0.04354659763 Can't calculate square root of the right side. The solution to this equation could not be determined.
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