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Simplifying 5x2 + -20x + 100 = 76 Reorder the terms: 100 + -20x + 5x2 = 76 Solving 100 + -20x + 5x2 = 76 Solving for variable 'x'. Reorder the terms: 100 + -76 + -20x + 5x2 = 76 + -76 Combine like terms: 100 + -76 = 24 24 + -20x + 5x2 = 76 + -76 Combine like terms: 76 + -76 = 0 24 + -20x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + -4x + x2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -4x + -4.8 + x2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -4x + x2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -4x + x2 = 0 + -4.8 -4x + x2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -4x + x2 = -4.8 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.8 + 4 Reorder the terms: 4 + -4x + x2 = -4.8 + 4 Combine like terms: -4.8 + 4 = -0.8 4 + -4x + x2 = -0.8 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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