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Simplifying 9x2 + -1x + 25 = 8x2 + 8x Reorder the terms: 25 + -1x + 9x2 = 8x2 + 8x Reorder the terms: 25 + -1x + 9x2 = 8x + 8x2 Solving 25 + -1x + 9x2 = 8x + 8x2 Solving for variable 'x'. Reorder the terms: 25 + -1x + -8x + 9x2 + -8x2 = 8x + 8x2 + -8x + -8x2 Combine like terms: -1x + -8x = -9x 25 + -9x + 9x2 + -8x2 = 8x + 8x2 + -8x + -8x2 Combine like terms: 9x2 + -8x2 = 1x2 25 + -9x + 1x2 = 8x + 8x2 + -8x + -8x2 Reorder the terms: 25 + -9x + 1x2 = 8x + -8x + 8x2 + -8x2 Combine like terms: 8x + -8x = 0 25 + -9x + 1x2 = 0 + 8x2 + -8x2 25 + -9x + 1x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 25 + -9x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -9x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -9x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9x + x2 = 0 + -25 -9x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -9x + x2 = -25 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 = -25 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -25 + 20.25 Combine like terms: -25 + 20.25 = -4.75 20.25 + -9x + x2 = -4.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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