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Simplifying 10x = -1x2 + -35 Reorder the terms: 10x = -35 + -1x2 Solving 10x = -35 + -1x2 Solving for variable 'x'. Reorder the terms: 35 + 10x + x2 = -35 + -1x2 + 35 + x2 Reorder the terms: 35 + 10x + x2 = -35 + 35 + -1x2 + x2 Combine like terms: -35 + 35 = 0 35 + 10x + x2 = 0 + -1x2 + x2 35 + 10x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 35 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + 10x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + 10x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 10x + x2 = 0 + -35 10x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 10x + x2 = -35 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -35 + 25 Reorder the terms: 25 + 10x + x2 = -35 + 25 Combine like terms: -35 + 25 = -10 25 + 10x + x2 = -10 Factor a perfect square on the left side: (x + 5)(x + 5) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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