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Simplifying 1350 = x(45 + -1x) 1350 = (45 * x + -1x * x) 1350 = (45x + -1x2) Solving 1350 = 45x + -1x2 Solving for variable 'x'. Reorder the terms: 1350 + -45x + x2 = 45x + -45x + -1x2 + x2 Combine like terms: 45x + -45x = 0 1350 + -45x + x2 = 0 + -1x2 + x2 1350 + -45x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 1350 + -45x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1350' to each side of the equation. 1350 + -45x + -1350 + x2 = 0 + -1350 Reorder the terms: 1350 + -1350 + -45x + x2 = 0 + -1350 Combine like terms: 1350 + -1350 = 0 0 + -45x + x2 = 0 + -1350 -45x + x2 = 0 + -1350 Combine like terms: 0 + -1350 = -1350 -45x + x2 = -1350 The x term is -45x. Take half its coefficient (-22.5). Square it (506.25) and add it to both sides. Add '506.25' to each side of the equation. -45x + 506.25 + x2 = -1350 + 506.25 Reorder the terms: 506.25 + -45x + x2 = -1350 + 506.25 Combine like terms: -1350 + 506.25 = -843.75 506.25 + -45x + x2 = -843.75 Factor a perfect square on the left side: (x + -22.5)(x + -22.5) = -843.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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