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Simplifying 150x + -1x2 = 10000 Solving 150x + -1x2 = 10000 Solving for variable 'x'. Reorder the terms: -10000 + 150x + -1x2 = 10000 + -10000 Combine like terms: 10000 + -10000 = 0 -10000 + 150x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10000 + -150x + x2 = 0 Move the constant term to the right: Add '-10000' to each side of the equation. 10000 + -150x + -10000 + x2 = 0 + -10000 Reorder the terms: 10000 + -10000 + -150x + x2 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -150x + x2 = 0 + -10000 -150x + x2 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 -150x + x2 = -10000 The x term is -150x. Take half its coefficient (-75). Square it (5625) and add it to both sides. Add '5625' to each side of the equation. -150x + 5625 + x2 = -10000 + 5625 Reorder the terms: 5625 + -150x + x2 = -10000 + 5625 Combine like terms: -10000 + 5625 = -4375 5625 + -150x + x2 = -4375 Factor a perfect square on the left side: (x + -75)(x + -75) = -4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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