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Simplifying 0 = -4.9x2 + 75x + -287 Reorder the terms: 0 = -287 + 75x + -4.9x2 Solving 0 = -287 + 75x + -4.9x2 Solving for variable 'x'. Combine like terms: 0 + 287 = 287 287 + -75x + 4.9x2 = -287 + 75x + -4.9x2 + 287 + -75x + 4.9x2 Reorder the terms: 287 + -75x + 4.9x2 = -287 + 287 + 75x + -75x + -4.9x2 + 4.9x2 Combine like terms: -287 + 287 = 0 287 + -75x + 4.9x2 = 0 + 75x + -75x + -4.9x2 + 4.9x2 287 + -75x + 4.9x2 = 75x + -75x + -4.9x2 + 4.9x2 Combine like terms: 75x + -75x = 0 287 + -75x + 4.9x2 = 0 + -4.9x2 + 4.9x2 287 + -75x + 4.9x2 = -4.9x2 + 4.9x2 Combine like terms: -4.9x2 + 4.9x2 = 0.0 287 + -75x + 4.9x2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 58.57142857 + -15.30612245x + x2 = 0 Move the constant term to the right: Add '-58.57142857' to each side of the equation. 58.57142857 + -15.30612245x + -58.57142857 + x2 = 0 + -58.57142857 Reorder the terms: 58.57142857 + -58.57142857 + -15.30612245x + x2 = 0 + -58.57142857 Combine like terms: 58.57142857 + -58.57142857 = 0.00000000 0.00000000 + -15.30612245x + x2 = 0 + -58.57142857 -15.30612245x + x2 = 0 + -58.57142857 Combine like terms: 0 + -58.57142857 = -58.57142857 -15.30612245x + x2 = -58.57142857 The x term is -15.30612245x. Take half its coefficient (-7.653061225). Square it (58.56934611) and add it to both sides. Add '58.56934611' to each side of the equation. -15.30612245x + 58.56934611 + x2 = -58.57142857 + 58.56934611 Reorder the terms: 58.56934611 + -15.30612245x + x2 = -58.57142857 + 58.56934611 Combine like terms: -58.57142857 + 58.56934611 = -0.00208246 58.56934611 + -15.30612245x + x2 = -0.00208246 Factor a perfect square on the left side: (x + -7.653061225)(x + -7.653061225) = -0.00208246 Can't calculate square root of the right side. The solution to this equation could not be determined.
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