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Simplifying 4x2 + 8x + 16 = 3x2 + -19 Reorder the terms: 16 + 8x + 4x2 = 3x2 + -19 Reorder the terms: 16 + 8x + 4x2 = -19 + 3x2 Solving 16 + 8x + 4x2 = -19 + 3x2 Solving for variable 'x'. Reorder the terms: 16 + 19 + 8x + 4x2 + -3x2 = -19 + 3x2 + 19 + -3x2 Combine like terms: 16 + 19 = 35 35 + 8x + 4x2 + -3x2 = -19 + 3x2 + 19 + -3x2 Combine like terms: 4x2 + -3x2 = 1x2 35 + 8x + 1x2 = -19 + 3x2 + 19 + -3x2 Reorder the terms: 35 + 8x + 1x2 = -19 + 19 + 3x2 + -3x2 Combine like terms: -19 + 19 = 0 35 + 8x + 1x2 = 0 + 3x2 + -3x2 35 + 8x + 1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 35 + 8x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + 8x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + 8x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 8x + x2 = 0 + -35 8x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 8x + x2 = -35 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 = -35 + 16 Reorder the terms: 16 + 8x + x2 = -35 + 16 Combine like terms: -35 + 16 = -19 16 + 8x + x2 = -19 Factor a perfect square on the left side: (x + 4)(x + 4) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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