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Simplifying x2 + -7x + 38 = 5x Reorder the terms: 38 + -7x + x2 = 5x Solving 38 + -7x + x2 = 5x Solving for variable 'x'. Reorder the terms: 38 + -7x + -5x + x2 = 5x + -5x Combine like terms: -7x + -5x = -12x 38 + -12x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 38 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + -12x + -38 + x2 = 0 + -38 Reorder the terms: 38 + -38 + -12x + x2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -12x + x2 = 0 + -38 -12x + x2 = 0 + -38 Combine like terms: 0 + -38 = -38 -12x + x2 = -38 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -38 + 36 Reorder the terms: 36 + -12x + x2 = -38 + 36 Combine like terms: -38 + 36 = -2 36 + -12x + x2 = -2 Factor a perfect square on the left side: (x + -6)(x + -6) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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