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Simplifying 6x + -3x2 = 1600 Solving 6x + -3x2 = 1600 Solving for variable 'x'. Reorder the terms: -1600 + 6x + -3x2 = 1600 + -1600 Combine like terms: 1600 + -1600 = 0 -1600 + 6x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 533.3333333 + -2x + x2 = 0 Move the constant term to the right: Add '-533.3333333' to each side of the equation. 533.3333333 + -2x + -533.3333333 + x2 = 0 + -533.3333333 Reorder the terms: 533.3333333 + -533.3333333 + -2x + x2 = 0 + -533.3333333 Combine like terms: 533.3333333 + -533.3333333 = 0.0000000 0.0000000 + -2x + x2 = 0 + -533.3333333 -2x + x2 = 0 + -533.3333333 Combine like terms: 0 + -533.3333333 = -533.3333333 -2x + x2 = -533.3333333 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 = -533.3333333 + 1 Reorder the terms: 1 + -2x + x2 = -533.3333333 + 1 Combine like terms: -533.3333333 + 1 = -532.3333333 1 + -2x + x2 = -532.3333333 Factor a perfect square on the left side: (x + -1)(x + -1) = -532.3333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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