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Simplifying 4x2 + 4x + 7 = 3x2 + -8 Reorder the terms: 7 + 4x + 4x2 = 3x2 + -8 Reorder the terms: 7 + 4x + 4x2 = -8 + 3x2 Solving 7 + 4x + 4x2 = -8 + 3x2 Solving for variable 'x'. Reorder the terms: 7 + 8 + 4x + 4x2 + -3x2 = -8 + 3x2 + 8 + -3x2 Combine like terms: 7 + 8 = 15 15 + 4x + 4x2 + -3x2 = -8 + 3x2 + 8 + -3x2 Combine like terms: 4x2 + -3x2 = 1x2 15 + 4x + 1x2 = -8 + 3x2 + 8 + -3x2 Reorder the terms: 15 + 4x + 1x2 = -8 + 8 + 3x2 + -3x2 Combine like terms: -8 + 8 = 0 15 + 4x + 1x2 = 0 + 3x2 + -3x2 15 + 4x + 1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 15 + 4x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 4x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 4x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x + x2 = 0 + -15 4x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 4x + x2 = -15 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -15 + 4 Reorder the terms: 4 + 4x + x2 = -15 + 4 Combine like terms: -15 + 4 = -11 4 + 4x + x2 = -11 Factor a perfect square on the left side: (x + 2)(x + 2) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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