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Simplifying 72x2 + 55x + 150 = 0 Reorder the terms: 150 + 55x + 72x2 = 0 Solving 150 + 55x + 72x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 72 the coefficient of the squared term: Divide each side by '72'. 2.083333333 + 0.7638888889x + x2 = 0 Move the constant term to the right: Add '-2.083333333' to each side of the equation. 2.083333333 + 0.7638888889x + -2.083333333 + x2 = 0 + -2.083333333 Reorder the terms: 2.083333333 + -2.083333333 + 0.7638888889x + x2 = 0 + -2.083333333 Combine like terms: 2.083333333 + -2.083333333 = 0.000000000 0.000000000 + 0.7638888889x + x2 = 0 + -2.083333333 0.7638888889x + x2 = 0 + -2.083333333 Combine like terms: 0 + -2.083333333 = -2.083333333 0.7638888889x + x2 = -2.083333333 The x term is 0.7638888889x. Take half its coefficient (0.3819444445). Square it (0.1458815587) and add it to both sides. Add '0.1458815587' to each side of the equation. 0.7638888889x + 0.1458815587 + x2 = -2.083333333 + 0.1458815587 Reorder the terms: 0.1458815587 + 0.7638888889x + x2 = -2.083333333 + 0.1458815587 Combine like terms: -2.083333333 + 0.1458815587 = -1.9374517743 0.1458815587 + 0.7638888889x + x2 = -1.9374517743 Factor a perfect square on the left side: (x + 0.3819444445)(x + 0.3819444445) = -1.9374517743 Can't calculate square root of the right side. The solution to this equation could not be determined.
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