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Simplifying x2 + 6x + 8 = 4x + -3 Reorder the terms: 8 + 6x + x2 = 4x + -3 Reorder the terms: 8 + 6x + x2 = -3 + 4x Solving 8 + 6x + x2 = -3 + 4x Solving for variable 'x'. Reorder the terms: 8 + 3 + 6x + -4x + x2 = -3 + 4x + 3 + -4x Combine like terms: 8 + 3 = 11 11 + 6x + -4x + x2 = -3 + 4x + 3 + -4x Combine like terms: 6x + -4x = 2x 11 + 2x + x2 = -3 + 4x + 3 + -4x Reorder the terms: 11 + 2x + x2 = -3 + 3 + 4x + -4x Combine like terms: -3 + 3 = 0 11 + 2x + x2 = 0 + 4x + -4x 11 + 2x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 11 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 2x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + 2x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x + x2 = 0 + -11 2x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 2x + x2 = -11 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -11 + 1 Reorder the terms: 1 + 2x + x2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + 2x + x2 = -10 Factor a perfect square on the left side: (x + 1)(x + 1) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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