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Simplifying x(x + 1) = 4x + -8 Reorder the terms: x(1 + x) = 4x + -8 (1 * x + x * x) = 4x + -8 (1x + x2) = 4x + -8 Reorder the terms: 1x + x2 = -8 + 4x Solving 1x + x2 = -8 + 4x Solving for variable 'x'. Reorder the terms: 8 + 1x + -4x + x2 = -8 + 4x + 8 + -4x Combine like terms: 1x + -4x = -3x 8 + -3x + x2 = -8 + 4x + 8 + -4x Reorder the terms: 8 + -3x + x2 = -8 + 8 + 4x + -4x Combine like terms: -8 + 8 = 0 8 + -3x + x2 = 0 + 4x + -4x 8 + -3x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 8 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -3x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -3x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x + x2 = 0 + -8 -3x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3x + x2 = -8 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -8 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -8 + 2.25 Combine like terms: -8 + 2.25 = -5.75 2.25 + -3x + x2 = -5.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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