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Simplifying 0.0252x2 + 0.464x + 24.5088 = 0 Reorder the terms: 24.5088 + 0.464x + 0.0252x2 = 0 Solving 24.5088 + 0.464x + 0.0252x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.0252 the coefficient of the squared term: Divide each side by '0.0252'. 972.5714286 + 18.41269841x + x2 = 0 Move the constant term to the right: Add '-972.5714286' to each side of the equation. 972.5714286 + 18.41269841x + -972.5714286 + x2 = 0 + -972.5714286 Reorder the terms: 972.5714286 + -972.5714286 + 18.41269841x + x2 = 0 + -972.5714286 Combine like terms: 972.5714286 + -972.5714286 = 0.0000000 0.0000000 + 18.41269841x + x2 = 0 + -972.5714286 18.41269841x + x2 = 0 + -972.5714286 Combine like terms: 0 + -972.5714286 = -972.5714286 18.41269841x + x2 = -972.5714286 The x term is 18.41269841x. Take half its coefficient (9.206349205). Square it (84.75686568) and add it to both sides. Add '84.75686568' to each side of the equation. 18.41269841x + 84.75686568 + x2 = -972.5714286 + 84.75686568 Reorder the terms: 84.75686568 + 18.41269841x + x2 = -972.5714286 + 84.75686568 Combine like terms: -972.5714286 + 84.75686568 = -887.81456292 84.75686568 + 18.41269841x + x2 = -887.81456292 Factor a perfect square on the left side: (x + 9.206349205)(x + 9.206349205) = -887.81456292 Can't calculate square root of the right side. The solution to this equation could not be determined.
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