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Simplifying 48 = 7x + -1x2 Solving 48 = 7x + -1x2 Solving for variable 'x'. Reorder the terms: 48 + -7x + x2 = 7x + -7x + -1x2 + x2 Combine like terms: 7x + -7x = 0 48 + -7x + x2 = 0 + -1x2 + x2 48 + -7x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 48 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + -7x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + -7x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -7x + x2 = 0 + -48 -7x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -7x + x2 = -48 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -48 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -48 + 12.25 Combine like terms: -48 + 12.25 = -35.75 12.25 + -7x + x2 = -35.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -35.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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