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Simplifying 36 = 3x + -1x2 Solving 36 = 3x + -1x2 Solving for variable 'x'. Reorder the terms: 36 + -3x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 36 + -3x + x2 = 0 + -1x2 + x2 36 + -3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 36 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -3x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -3x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -3x + x2 = 0 + -36 -3x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -3x + x2 = -36 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -36 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -36 + 2.25 Combine like terms: -36 + 2.25 = -33.75 2.25 + -3x + x2 = -33.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -33.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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