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Simplifying x2(10 + -1x2) + -100 = 0 (10 * x2 + -1x2 * x2) + -100 = 0 (10x2 + -1x4) + -100 = 0 Reorder the terms: -100 + 10x2 + -1x4 = 0 Solving -100 + 10x2 + -1x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 100 + -10x2 + x4 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -10x2 + -100 + x4 = 0 + -100 Reorder the terms: 100 + -100 + -10x2 + x4 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -10x2 + x4 = 0 + -100 -10x2 + x4 = 0 + -100 Combine like terms: 0 + -100 = -100 -10x2 + x4 = -100 The x term is -10x2. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x2 + 25 + x4 = -100 + 25 Reorder the terms: 25 + -10x2 + x4 = -100 + 25 Combine like terms: -100 + 25 = -75 25 + -10x2 + x4 = -75 Factor a perfect square on the left side: (x2 + -5)(x2 + -5) = -75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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