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Simplifying x2 + -50x + 624.489 + 576 = 89 Reorder the terms: 624.489 + 576 + -50x + x2 = 89 Combine like terms: 624.489 + 576 = 1200.489 1200.489 + -50x + x2 = 89 Solving 1200.489 + -50x + x2 = 89 Solving for variable 'x'. Reorder the terms: 1200.489 + -89 + -50x + x2 = 89 + -89 Combine like terms: 1200.489 + -89 = 1111.489 1111.489 + -50x + x2 = 89 + -89 Combine like terms: 89 + -89 = 0 1111.489 + -50x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1111.489' to each side of the equation. 1111.489 + -50x + -1111.489 + x2 = 0 + -1111.489 Reorder the terms: 1111.489 + -1111.489 + -50x + x2 = 0 + -1111.489 Combine like terms: 1111.489 + -1111.489 = 0.000 0.000 + -50x + x2 = 0 + -1111.489 -50x + x2 = 0 + -1111.489 Combine like terms: 0 + -1111.489 = -1111.489 -50x + x2 = -1111.489 The x term is -50x. Take half its coefficient (-25). Square it (625) and add it to both sides. Add '625' to each side of the equation. -50x + 625 + x2 = -1111.489 + 625 Reorder the terms: 625 + -50x + x2 = -1111.489 + 625 Combine like terms: -1111.489 + 625 = -486.489 625 + -50x + x2 = -486.489 Factor a perfect square on the left side: (x + -25)(x + -25) = -486.489 Can't calculate square root of the right side. The solution to this equation could not be determined.
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