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Simplifying 0.1x2 + -7x + 150 = 0 Reorder the terms: 150 + -7x + 0.1x2 = 0 Solving 150 + -7x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 1500 + -70x + x2 = 0 Move the constant term to the right: Add '-1500' to each side of the equation. 1500 + -70x + -1500 + x2 = 0 + -1500 Reorder the terms: 1500 + -1500 + -70x + x2 = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -70x + x2 = 0 + -1500 -70x + x2 = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -70x + x2 = -1500 The x term is -70x. Take half its coefficient (-35). Square it (1225) and add it to both sides. Add '1225' to each side of the equation. -70x + 1225 + x2 = -1500 + 1225 Reorder the terms: 1225 + -70x + x2 = -1500 + 1225 Combine like terms: -1500 + 1225 = -275 1225 + -70x + x2 = -275 Factor a perfect square on the left side: (x + -35)(x + -35) = -275 Can't calculate square root of the right side. The solution to this equation could not be determined.
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