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Simplifying x2 + 576 = 9x + 16 Reorder the terms: 576 + x2 = 9x + 16 Reorder the terms: 576 + x2 = 16 + 9x Solving 576 + x2 = 16 + 9x Solving for variable 'x'. Reorder the terms: 576 + -16 + -9x + x2 = 16 + 9x + -16 + -9x Combine like terms: 576 + -16 = 560 560 + -9x + x2 = 16 + 9x + -16 + -9x Reorder the terms: 560 + -9x + x2 = 16 + -16 + 9x + -9x Combine like terms: 16 + -16 = 0 560 + -9x + x2 = 0 + 9x + -9x 560 + -9x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 560 + -9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-560' to each side of the equation. 560 + -9x + -560 + x2 = 0 + -560 Reorder the terms: 560 + -560 + -9x + x2 = 0 + -560 Combine like terms: 560 + -560 = 0 0 + -9x + x2 = 0 + -560 -9x + x2 = 0 + -560 Combine like terms: 0 + -560 = -560 -9x + x2 = -560 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 = -560 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -560 + 20.25 Combine like terms: -560 + 20.25 = -539.75 20.25 + -9x + x2 = -539.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -539.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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