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Simplifying 0 = 0.35x2 + -100x + 15000 Reorder the terms: 0 = 15000 + -100x + 0.35x2 Solving 0 = 15000 + -100x + 0.35x2 Solving for variable 'x'. Combine like terms: 0 + -15000 = -15000 -15000 + 100x + -0.35x2 = 15000 + -100x + 0.35x2 + -15000 + 100x + -0.35x2 Reorder the terms: -15000 + 100x + -0.35x2 = 15000 + -15000 + -100x + 100x + 0.35x2 + -0.35x2 Combine like terms: 15000 + -15000 = 0 -15000 + 100x + -0.35x2 = 0 + -100x + 100x + 0.35x2 + -0.35x2 -15000 + 100x + -0.35x2 = -100x + 100x + 0.35x2 + -0.35x2 Combine like terms: -100x + 100x = 0 -15000 + 100x + -0.35x2 = 0 + 0.35x2 + -0.35x2 -15000 + 100x + -0.35x2 = 0.35x2 + -0.35x2 Combine like terms: 0.35x2 + -0.35x2 = 0.00 -15000 + 100x + -0.35x2 = 0.00 Begin completing the square. Divide all terms by -0.35 the coefficient of the squared term: Divide each side by '-0.35'. 42857.14286 + -285.7142857x + x2 = 0 Move the constant term to the right: Add '-42857.14286' to each side of the equation. 42857.14286 + -285.7142857x + -42857.14286 + x2 = 0 + -42857.14286 Reorder the terms: 42857.14286 + -42857.14286 + -285.7142857x + x2 = 0 + -42857.14286 Combine like terms: 42857.14286 + -42857.14286 = 0.00000 0.00000 + -285.7142857x + x2 = 0 + -42857.14286 -285.7142857x + x2 = 0 + -42857.14286 Combine like terms: 0 + -42857.14286 = -42857.14286 -285.7142857x + x2 = -42857.14286 The x term is -285.7142857x. Take half its coefficient (-142.8571429). Square it (20408.16328) and add it to both sides. Add '20408.16328' to each side of the equation. -285.7142857x + 20408.16328 + x2 = -42857.14286 + 20408.16328 Reorder the terms: 20408.16328 + -285.7142857x + x2 = -42857.14286 + 20408.16328 Combine like terms: -42857.14286 + 20408.16328 = -22448.97958 20408.16328 + -285.7142857x + x2 = -22448.97958 Factor a perfect square on the left side: (x + -142.8571429)(x + -142.8571429) = -22448.97958 Can't calculate square root of the right side. The solution to this equation could not be determined.
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