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Simplifying x2 + -5x + -14 = -6x + -44 Reorder the terms: -14 + -5x + x2 = -6x + -44 Reorder the terms: -14 + -5x + x2 = -44 + -6x Solving -14 + -5x + x2 = -44 + -6x Solving for variable 'x'. Reorder the terms: -14 + 44 + -5x + 6x + x2 = -44 + -6x + 44 + 6x Combine like terms: -14 + 44 = 30 30 + -5x + 6x + x2 = -44 + -6x + 44 + 6x Combine like terms: -5x + 6x = 1x 30 + 1x + x2 = -44 + -6x + 44 + 6x Reorder the terms: 30 + 1x + x2 = -44 + 44 + -6x + 6x Combine like terms: -44 + 44 = 0 30 + 1x + x2 = 0 + -6x + 6x 30 + 1x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 30 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 1x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + 1x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1x + x2 = 0 + -30 1x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 1x + x2 = -30 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -30 + 0.25 Reorder the terms: 0.25 + x + x2 = -30 + 0.25 Combine like terms: -30 + 0.25 = -29.75 0.25 + x + x2 = -29.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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