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Simplifying x2 + -3x + 16 = 6x + -14 Reorder the terms: 16 + -3x + x2 = 6x + -14 Reorder the terms: 16 + -3x + x2 = -14 + 6x Solving 16 + -3x + x2 = -14 + 6x Solving for variable 'x'. Reorder the terms: 16 + 14 + -3x + -6x + x2 = -14 + 6x + 14 + -6x Combine like terms: 16 + 14 = 30 30 + -3x + -6x + x2 = -14 + 6x + 14 + -6x Combine like terms: -3x + -6x = -9x 30 + -9x + x2 = -14 + 6x + 14 + -6x Reorder the terms: 30 + -9x + x2 = -14 + 14 + 6x + -6x Combine like terms: -14 + 14 = 0 30 + -9x + x2 = 0 + 6x + -6x 30 + -9x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 30 + -9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -9x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -9x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -9x + x2 = 0 + -30 -9x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -9x + x2 = -30 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -30 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -30 + 20.25 Combine like terms: -30 + 20.25 = -9.75 20.25 + -9x + x2 = -9.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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