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Simplifying 9x2 + -2x + 25 = 8x2 + 8 Reorder the terms: 25 + -2x + 9x2 = 8x2 + 8 Reorder the terms: 25 + -2x + 9x2 = 8 + 8x2 Solving 25 + -2x + 9x2 = 8 + 8x2 Solving for variable 'x'. Reorder the terms: 25 + -8 + -2x + 9x2 + -8x2 = 8 + 8x2 + -8 + -8x2 Combine like terms: 25 + -8 = 17 17 + -2x + 9x2 + -8x2 = 8 + 8x2 + -8 + -8x2 Combine like terms: 9x2 + -8x2 = 1x2 17 + -2x + 1x2 = 8 + 8x2 + -8 + -8x2 Reorder the terms: 17 + -2x + 1x2 = 8 + -8 + 8x2 + -8x2 Combine like terms: 8 + -8 = 0 17 + -2x + 1x2 = 0 + 8x2 + -8x2 17 + -2x + 1x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 17 + -2x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -2x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -2x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x + x2 = 0 + -17 -2x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -2x + x2 = -17 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 = -17 + 1 Reorder the terms: 1 + -2x + x2 = -17 + 1 Combine like terms: -17 + 1 = -16 1 + -2x + x2 = -16 Factor a perfect square on the left side: (x + -1)(x + -1) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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