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Simplifying (15x)(15x) + 26x + 8 = 0 Remove parenthesis around (15x) 15x(15x) + 26x + 8 = 0 Remove parenthesis around (15x) 15x * 15x + 26x + 8 = 0 Reorder the terms for easier multiplication: 15 * 15x * x + 26x + 8 = 0 Multiply 15 * 15 225x * x + 26x + 8 = 0 Multiply x * x 225x2 + 26x + 8 = 0 Reorder the terms: 8 + 26x + 225x2 = 0 Solving 8 + 26x + 225x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 225 the coefficient of the squared term: Divide each side by '225'. 0.03555555556 + 0.1155555556x + x2 = 0 Move the constant term to the right: Add '-0.03555555556' to each side of the equation. 0.03555555556 + 0.1155555556x + -0.03555555556 + x2 = 0 + -0.03555555556 Reorder the terms: 0.03555555556 + -0.03555555556 + 0.1155555556x + x2 = 0 + -0.03555555556 Combine like terms: 0.03555555556 + -0.03555555556 = 0.00000000000 0.00000000000 + 0.1155555556x + x2 = 0 + -0.03555555556 0.1155555556x + x2 = 0 + -0.03555555556 Combine like terms: 0 + -0.03555555556 = -0.03555555556 0.1155555556x + x2 = -0.03555555556 The x term is 0.1155555556x. Take half its coefficient (0.0577777778). Square it (0.003338271608) and add it to both sides. Add '0.003338271608' to each side of the equation. 0.1155555556x + 0.003338271608 + x2 = -0.03555555556 + 0.003338271608 Reorder the terms: 0.003338271608 + 0.1155555556x + x2 = -0.03555555556 + 0.003338271608 Combine like terms: -0.03555555556 + 0.003338271608 = -0.032217283952 0.003338271608 + 0.1155555556x + x2 = -0.032217283952 Factor a perfect square on the left side: (x + 0.0577777778)(x + 0.0577777778) = -0.032217283952 Can't calculate square root of the right side. The solution to this equation could not be determined.
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