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Simplifying 100x + -1x2 = 7500 Solving 100x + -1x2 = 7500 Solving for variable 'x'. Reorder the terms: -7500 + 100x + -1x2 = 7500 + -7500 Combine like terms: 7500 + -7500 = 0 -7500 + 100x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 7500 + -100x + x2 = 0 Move the constant term to the right: Add '-7500' to each side of the equation. 7500 + -100x + -7500 + x2 = 0 + -7500 Reorder the terms: 7500 + -7500 + -100x + x2 = 0 + -7500 Combine like terms: 7500 + -7500 = 0 0 + -100x + x2 = 0 + -7500 -100x + x2 = 0 + -7500 Combine like terms: 0 + -7500 = -7500 -100x + x2 = -7500 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 = -7500 + 2500 Reorder the terms: 2500 + -100x + x2 = -7500 + 2500 Combine like terms: -7500 + 2500 = -5000 2500 + -100x + x2 = -5000 Factor a perfect square on the left side: (x + -50)(x + -50) = -5000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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