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Simplifying 10000 = 100x + -1x2 Solving 10000 = 100x + -1x2 Solving for variable 'x'. Reorder the terms: 10000 + -100x + x2 = 100x + -100x + -1x2 + x2 Combine like terms: 100x + -100x = 0 10000 + -100x + x2 = 0 + -1x2 + x2 10000 + -100x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 10000 + -100x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10000' to each side of the equation. 10000 + -100x + -10000 + x2 = 0 + -10000 Reorder the terms: 10000 + -10000 + -100x + x2 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -100x + x2 = 0 + -10000 -100x + x2 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 -100x + x2 = -10000 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -10000 + 2500 Reorder the terms: 2500 + -100x + x2 = -10000 + 2500 Combine like terms: -10000 + 2500 = -7500 2500 + -100x + x2 = -7500 Factor a perfect square on the left side: (x + -50)(x + -50) = -7500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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