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Simplifying 5x2 + -44x + 150 = 0 Reorder the terms: 150 + -44x + 5x2 = 0 Solving 150 + -44x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 30 + -8.8x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -8.8x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -8.8x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -8.8x + x2 = 0 + -30 -8.8x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -8.8x + x2 = -30 The x term is -8.8x. Take half its coefficient (-4.4). Square it (19.36) and add it to both sides. Add '19.36' to each side of the equation. -8.8x + 19.36 + x2 = -30 + 19.36 Reorder the terms: 19.36 + -8.8x + x2 = -30 + 19.36 Combine like terms: -30 + 19.36 = -10.64 19.36 + -8.8x + x2 = -10.64 Factor a perfect square on the left side: (x + -4.4)(x + -4.4) = -10.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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