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Simplifying -3x + 6 = -1x2 + 4x + -8 Reorder the terms: 6 + -3x = -1x2 + 4x + -8 Reorder the terms: 6 + -3x = -8 + 4x + -1x2 Solving 6 + -3x = -8 + 4x + -1x2 Solving for variable 'x'. Reorder the terms: 6 + 8 + -3x + -4x + x2 = -8 + 4x + -1x2 + 8 + -4x + x2 Combine like terms: 6 + 8 = 14 14 + -3x + -4x + x2 = -8 + 4x + -1x2 + 8 + -4x + x2 Combine like terms: -3x + -4x = -7x 14 + -7x + x2 = -8 + 4x + -1x2 + 8 + -4x + x2 Reorder the terms: 14 + -7x + x2 = -8 + 8 + 4x + -4x + -1x2 + x2 Combine like terms: -8 + 8 = 0 14 + -7x + x2 = 0 + 4x + -4x + -1x2 + x2 14 + -7x + x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 14 + -7x + x2 = 0 + -1x2 + x2 14 + -7x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 14 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -7x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -7x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7x + x2 = 0 + -14 -7x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -7x + x2 = -14 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 = -14 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -14 + 12.25 Combine like terms: -14 + 12.25 = -1.75 12.25 + -7x + x2 = -1.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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