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Simplifying -0.006x2 + 1.2x + 10 = 142 Reorder the terms: 10 + 1.2x + -0.006x2 = 142 Solving 10 + 1.2x + -0.006x2 = 142 Solving for variable 'x'. Reorder the terms: 10 + -142 + 1.2x + -0.006x2 = 142 + -142 Combine like terms: 10 + -142 = -132 -132 + 1.2x + -0.006x2 = 142 + -142 Combine like terms: 142 + -142 = 0 -132 + 1.2x + -0.006x2 = 0 Begin completing the square. Divide all terms by -0.006 the coefficient of the squared term: Divide each side by '-0.006'. 22000 + -200x + x2 = 0 Move the constant term to the right: Add '-22000' to each side of the equation. 22000 + -200x + -22000 + x2 = 0 + -22000 Reorder the terms: 22000 + -22000 + -200x + x2 = 0 + -22000 Combine like terms: 22000 + -22000 = 0 0 + -200x + x2 = 0 + -22000 -200x + x2 = 0 + -22000 Combine like terms: 0 + -22000 = -22000 -200x + x2 = -22000 The x term is -200x. Take half its coefficient (-100). Square it (10000) and add it to both sides. Add '10000' to each side of the equation. -200x + 10000 + x2 = -22000 + 10000 Reorder the terms: 10000 + -200x + x2 = -22000 + 10000 Combine like terms: -22000 + 10000 = -12000 10000 + -200x + x2 = -12000 Factor a perfect square on the left side: (x + -100)(x + -100) = -12000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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