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Simplifying x(2x) + 1 = 28 Remove parenthesis around (2x) x * 2x + 1 = 28 Reorder the terms for easier multiplication: 2x * x + 1 = 28 Multiply x * x 2x2 + 1 = 28 Reorder the terms: 1 + 2x2 = 28 Solving 1 + 2x2 = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x2 = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 2x2 = 28 + -1 2x2 = 28 + -1 Combine like terms: 28 + -1 = 27 2x2 = 27 Divide each side by '2'. x2 = 13.5 Simplifying x2 = 13.5 Take the square root of each side: x = {-3.674234614, 3.674234614}
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