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Simplifying 0 = 0.6x2 + -12x + 150 Reorder the terms: 0 = 150 + -12x + 0.6x2 Solving 0 = 150 + -12x + 0.6x2 Solving for variable 'x'. Combine like terms: 0 + -150 = -150 -150 + 12x + -0.6x2 = 150 + -12x + 0.6x2 + -150 + 12x + -0.6x2 Reorder the terms: -150 + 12x + -0.6x2 = 150 + -150 + -12x + 12x + 0.6x2 + -0.6x2 Combine like terms: 150 + -150 = 0 -150 + 12x + -0.6x2 = 0 + -12x + 12x + 0.6x2 + -0.6x2 -150 + 12x + -0.6x2 = -12x + 12x + 0.6x2 + -0.6x2 Combine like terms: -12x + 12x = 0 -150 + 12x + -0.6x2 = 0 + 0.6x2 + -0.6x2 -150 + 12x + -0.6x2 = 0.6x2 + -0.6x2 Combine like terms: 0.6x2 + -0.6x2 = 0.0 -150 + 12x + -0.6x2 = 0.0 Begin completing the square. Divide all terms by -0.6 the coefficient of the squared term: Divide each side by '-0.6'. 250 + -20x + x2 = 0 Move the constant term to the right: Add '-250' to each side of the equation. 250 + -20x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + -20x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -20x + x2 = 0 + -250 -20x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 -20x + x2 = -250 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -250 + 100 Reorder the terms: 100 + -20x + x2 = -250 + 100 Combine like terms: -250 + 100 = -150 100 + -20x + x2 = -150 Factor a perfect square on the left side: (x + -10)(x + -10) = -150 Can't calculate square root of the right side. The solution to this equation could not be determined.
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