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Simplifying x2 + 10x + 14 = 2x + -3 Reorder the terms: 14 + 10x + x2 = 2x + -3 Reorder the terms: 14 + 10x + x2 = -3 + 2x Solving 14 + 10x + x2 = -3 + 2x Solving for variable 'x'. Reorder the terms: 14 + 3 + 10x + -2x + x2 = -3 + 2x + 3 + -2x Combine like terms: 14 + 3 = 17 17 + 10x + -2x + x2 = -3 + 2x + 3 + -2x Combine like terms: 10x + -2x = 8x 17 + 8x + x2 = -3 + 2x + 3 + -2x Reorder the terms: 17 + 8x + x2 = -3 + 3 + 2x + -2x Combine like terms: -3 + 3 = 0 17 + 8x + x2 = 0 + 2x + -2x 17 + 8x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 17 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 8x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + 8x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8x + x2 = 0 + -17 8x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 8x + x2 = -17 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 = -17 + 16 Reorder the terms: 16 + 8x + x2 = -17 + 16 Combine like terms: -17 + 16 = -1 16 + 8x + x2 = -1 Factor a perfect square on the left side: (x + 4)(x + 4) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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