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Simplifying 0 = -1x2 + -126 + 5x Reorder the terms: 0 = -126 + 5x + -1x2 Solving 0 = -126 + 5x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 126 = 126 126 + -5x + x2 = -126 + 5x + -1x2 + 126 + -5x + x2 Reorder the terms: 126 + -5x + x2 = -126 + 126 + 5x + -5x + -1x2 + x2 Combine like terms: -126 + 126 = 0 126 + -5x + x2 = 0 + 5x + -5x + -1x2 + x2 126 + -5x + x2 = 5x + -5x + -1x2 + x2 Combine like terms: 5x + -5x = 0 126 + -5x + x2 = 0 + -1x2 + x2 126 + -5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 126 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-126' to each side of the equation. 126 + -5x + -126 + x2 = 0 + -126 Reorder the terms: 126 + -126 + -5x + x2 = 0 + -126 Combine like terms: 126 + -126 = 0 0 + -5x + x2 = 0 + -126 -5x + x2 = 0 + -126 Combine like terms: 0 + -126 = -126 -5x + x2 = -126 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -126 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -126 + 6.25 Combine like terms: -126 + 6.25 = -119.75 6.25 + -5x + x2 = -119.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -119.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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