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Simplifying x2 + 7 = -8x + -15 Reorder the terms: 7 + x2 = -8x + -15 Reorder the terms: 7 + x2 = -15 + -8x Solving 7 + x2 = -15 + -8x Solving for variable 'x'. Reorder the terms: 7 + 15 + 8x + x2 = -15 + -8x + 15 + 8x Combine like terms: 7 + 15 = 22 22 + 8x + x2 = -15 + -8x + 15 + 8x Reorder the terms: 22 + 8x + x2 = -15 + 15 + -8x + 8x Combine like terms: -15 + 15 = 0 22 + 8x + x2 = 0 + -8x + 8x 22 + 8x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 22 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 8x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + 8x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 8x + x2 = 0 + -22 8x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 8x + x2 = -22 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 = -22 + 16 Reorder the terms: 16 + 8x + x2 = -22 + 16 Combine like terms: -22 + 16 = -6 16 + 8x + x2 = -6 Factor a perfect square on the left side: (x + 4)(x + 4) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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