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Simplifying 0.3x2 + -0.6x + 3000 = 0 Reorder the terms: 3000 + -0.6x + 0.3x2 = 0 Solving 3000 + -0.6x + 0.3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.3 the coefficient of the squared term: Divide each side by '0.3'. 10000 + -2x + x2 = 0 Move the constant term to the right: Add '-10000' to each side of the equation. 10000 + -2x + -10000 + x2 = 0 + -10000 Reorder the terms: 10000 + -10000 + -2x + x2 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -2x + x2 = 0 + -10000 -2x + x2 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 -2x + x2 = -10000 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -10000 + 1 Reorder the terms: 1 + -2x + x2 = -10000 + 1 Combine like terms: -10000 + 1 = -9999 1 + -2x + x2 = -9999 Factor a perfect square on the left side: (x + -1)(x + -1) = -9999 Can't calculate square root of the right side. The solution to this equation could not be determined.
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