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Simplifying (x + 10)(x + 10) = x * x + cx + d Reorder the terms: (10 + x)(x + 10) = x * x + cx + d Reorder the terms: (10 + x)(10 + x) = x * x + cx + d Multiply (10 + x) * (10 + x) (10(10 + x) + x(10 + x)) = x * x + cx + d ((10 * 10 + x * 10) + x(10 + x)) = x * x + cx + d ((100 + 10x) + x(10 + x)) = x * x + cx + d (100 + 10x + (10 * x + x * x)) = x * x + cx + d (100 + 10x + (10x + x2)) = x * x + cx + d Combine like terms: 10x + 10x = 20x (100 + 20x + x2) = x * x + cx + d Multiply x * x 100 + 20x + x2 = x2 + cx + d Reorder the terms: 100 + 20x + x2 = cx + d + x2 Add '-1x2' to each side of the equation. 100 + 20x + x2 + -1x2 = cx + d + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 100 + 20x + 0 = cx + d + x2 + -1x2 100 + 20x = cx + d + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 100 + 20x = cx + d + 0 100 + 20x = cx + d Solving 100 + 20x = cx + d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1cx' to each side of the equation. 100 + -1cx + 20x = cx + -1cx + d Combine like terms: cx + -1cx = 0 100 + -1cx + 20x = 0 + d 100 + -1cx + 20x = d Add '-100' to each side of the equation. 100 + -1cx + -100 + 20x = -100 + d Reorder the terms: 100 + -100 + -1cx + 20x = -100 + d Combine like terms: 100 + -100 = 0 0 + -1cx + 20x = -100 + d -1cx + 20x = -100 + d Reorder the terms: 100 + -1cx + -1d + 20x = -100 + d + 100 + -1d Reorder the terms: 100 + -1cx + -1d + 20x = -100 + 100 + d + -1d Combine like terms: -100 + 100 = 0 100 + -1cx + -1d + 20x = 0 + d + -1d 100 + -1cx + -1d + 20x = d + -1d Combine like terms: d + -1d = 0 100 + -1cx + -1d + 20x = 0 The solution to this equation could not be determined.
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