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Simplifying (2x)(2x) + 6 = 14 Remove parenthesis around (2x) 2x(2x) + 6 = 14 Remove parenthesis around (2x) 2x * 2x + 6 = 14 Reorder the terms for easier multiplication: 2 * 2x * x + 6 = 14 Multiply 2 * 2 4x * x + 6 = 14 Multiply x * x 4x2 + 6 = 14 Reorder the terms: 6 + 4x2 = 14 Solving 6 + 4x2 = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x2 = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 4x2 = 14 + -6 4x2 = 14 + -6 Combine like terms: 14 + -6 = 8 4x2 = 8 Divide each side by '4'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}
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