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Simplifying 0 = -10x + -40 + -1x2 Reorder the terms: 0 = -40 + -10x + -1x2 Solving 0 = -40 + -10x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 40 = 40 40 + 10x + x2 = -40 + -10x + -1x2 + 40 + 10x + x2 Reorder the terms: 40 + 10x + x2 = -40 + 40 + -10x + 10x + -1x2 + x2 Combine like terms: -40 + 40 = 0 40 + 10x + x2 = 0 + -10x + 10x + -1x2 + x2 40 + 10x + x2 = -10x + 10x + -1x2 + x2 Combine like terms: -10x + 10x = 0 40 + 10x + x2 = 0 + -1x2 + x2 40 + 10x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 40 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + 10x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + 10x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 10x + x2 = 0 + -40 10x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 10x + x2 = -40 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 = -40 + 25 Reorder the terms: 25 + 10x + x2 = -40 + 25 Combine like terms: -40 + 25 = -15 25 + 10x + x2 = -15 Factor a perfect square on the left side: (x + 5)(x + 5) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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