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Simplifying x(x + -3) + 8 = 5x + -22 Reorder the terms: x(-3 + x) + 8 = 5x + -22 (-3 * x + x * x) + 8 = 5x + -22 (-3x + x2) + 8 = 5x + -22 Reorder the terms: 8 + -3x + x2 = 5x + -22 Reorder the terms: 8 + -3x + x2 = -22 + 5x Solving 8 + -3x + x2 = -22 + 5x Solving for variable 'x'. Reorder the terms: 8 + 22 + -3x + -5x + x2 = -22 + 5x + 22 + -5x Combine like terms: 8 + 22 = 30 30 + -3x + -5x + x2 = -22 + 5x + 22 + -5x Combine like terms: -3x + -5x = -8x 30 + -8x + x2 = -22 + 5x + 22 + -5x Reorder the terms: 30 + -8x + x2 = -22 + 22 + 5x + -5x Combine like terms: -22 + 22 = 0 30 + -8x + x2 = 0 + 5x + -5x 30 + -8x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 30 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -8x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -8x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -8x + x2 = 0 + -30 -8x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -8x + x2 = -30 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -30 + 16 Reorder the terms: 16 + -8x + x2 = -30 + 16 Combine like terms: -30 + 16 = -14 16 + -8x + x2 = -14 Factor a perfect square on the left side: (x + -4)(x + -4) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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